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Finding the Fourth Proportional to 5,654.31, 7,802.56 and 3,136.32

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Solution

The fourth proportional to 5,654.31, 7,802.56 and 3,136.32 is: 4,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.31 : 7,802.56 = 3,136.32 : x
  2. Step 2: Convert to fraction form
    5,654.31/7,802.56 = 3,136.32/x
  3. Step 3: Cross multiply
    5,654.31x = 7,802.56 × 3,136.32
  4. Step 4: Simplify right side
    5,654.31x = 24,471,324.98
  5. Step 5: Solve for x
    x = 24,471,324.98/5,654.31
  6. Step 6: Final answer
    x = 4,327.91

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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.