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Finding the Fourth Proportional to 5,257.94, 7,256.10 and 2,900.22

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Solution

The fourth proportional to 5,257.94, 7,256.10 and 2,900.22 is: 4,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.94 : 7,256.10 = 2,900.22 : x
  2. Step 2: Convert to fraction form
    5,257.94/7,256.10 = 2,900.22/x
  3. Step 3: Cross multiply
    5,257.94x = 7,256.10 × 2,900.22
  4. Step 4: Simplify right side
    5,257.94x = 21,044,286.34
  5. Step 5: Solve for x
    x = 21,044,286.34/5,257.94
  6. Step 6: Final answer
    x = 4,002.39

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Half scale
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Double scale
Find fourth proportional to 5,258.94, 7,257.48 and 2,901.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.