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Finding the Fourth Proportional to 5,487.31, 7,572.47 and 2,969.46

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Solution

The fourth proportional to 5,487.31, 7,572.47 and 2,969.46 is: 4,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.31 : 7,572.47 = 2,969.46 : x
  2. Step 2: Convert to fraction form
    5,487.31/7,572.47 = 2,969.46/x
  3. Step 3: Cross multiply
    5,487.31x = 7,572.47 × 2,969.46
  4. Step 4: Simplify right side
    5,487.31x = 22,486,142.36
  5. Step 5: Solve for x
    x = 22,486,142.36/5,487.31
  6. Step 6: Final answer
    x = 4,097.85

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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.