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Finding the Fourth Proportional to 5,297.31, 7,946.17 and 1,787.38

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Solution

The fourth proportional to 5,297.31, 7,946.17 and 1,787.38 is: 2,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.31 : 7,946.17 = 1,787.38 : x
  2. Step 2: Convert to fraction form
    5,297.31/7,946.17 = 1,787.38/x
  3. Step 3: Cross multiply
    5,297.31x = 7,946.17 × 1,787.38
  4. Step 4: Simplify right side
    5,297.31x = 14,202,801.00
  5. Step 5: Solve for x
    x = 14,202,801.00/5,297.31
  6. Step 6: Final answer
    x = 2,681.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.