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Finding the Fourth Proportional to 5,257.56, 7,256.82 and 3,106

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Solution

The fourth proportional to 5,257.56, 7,256.82 and 3,106 is: 4,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.56 : 7,256.82 = 3,106 : x
  2. Step 2: Convert to fraction form
    5,257.56/7,256.82 = 3,106/x
  3. Step 3: Cross multiply
    5,257.56x = 7,256.82 × 3,106
  4. Step 4: Simplify right side
    5,257.56x = 22,539,682.92
  5. Step 5: Solve for x
    x = 22,539,682.92/5,257.56
  6. Step 6: Final answer
    x = 4,287.10

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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.