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Finding the Fourth Proportional to 5,491.98, 7,578.65 and 3,223.01

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Solution

The fourth proportional to 5,491.98, 7,578.65 and 3,223.01 is: 4,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.98 : 7,578.65 = 3,223.01 : x
  2. Step 2: Convert to fraction form
    5,491.98/7,578.65 = 3,223.01/x
  3. Step 3: Cross multiply
    5,491.98x = 7,578.65 × 3,223.01
  4. Step 4: Simplify right side
    5,491.98x = 24,426,010.73
  5. Step 5: Solve for x
    x = 24,426,010.73/5,491.98
  6. Step 6: Final answer
    x = 4,447.58

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Half scale
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Double scale
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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.