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Finding the Fourth Proportional to 4,732.90, 6,531.42 and 2,744.63

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Solution

The fourth proportional to 4,732.90, 6,531.42 and 2,744.63 is: 3,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.90 : 6,531.42 = 2,744.63 : x
  2. Step 2: Convert to fraction form
    4,732.90/6,531.42 = 2,744.63/x
  3. Step 3: Cross multiply
    4,732.90x = 6,531.42 × 2,744.63
  4. Step 4: Simplify right side
    4,732.90x = 17,926,331.27
  5. Step 5: Solve for x
    x = 17,926,331.27/4,732.90
  6. Step 6: Final answer
    x = 3,787.60

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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.