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Finding the Fourth Proportional to 5,610.28, 7,742.40 and 3,487

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Solution

The fourth proportional to 5,610.28, 7,742.40 and 3,487 is: 4,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.28 : 7,742.40 = 3,487 : x
  2. Step 2: Convert to fraction form
    5,610.28/7,742.40 = 3,487/x
  3. Step 3: Cross multiply
    5,610.28x = 7,742.40 × 3,487
  4. Step 4: Simplify right side
    5,610.28x = 26,997,748.80
  5. Step 5: Solve for x
    x = 26,997,748.80/5,610.28
  6. Step 6: Final answer
    x = 4,812.19

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