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Finding the Fourth Proportional to 3,638.52, 5,454 and 1,787.13

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Solution

The fourth proportional to 3,638.52, 5,454 and 1,787.13 is: 2,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.52 : 5,454 = 1,787.13 : x
  2. Step 2: Convert to fraction form
    3,638.52/5,454 = 1,787.13/x
  3. Step 3: Cross multiply
    3,638.52x = 5,454 × 1,787.13
  4. Step 4: Simplify right side
    3,638.52x = 9,747,007.02
  5. Step 5: Solve for x
    x = 9,747,007.02/3,638.52
  6. Step 6: Final answer
    x = 2,678.84

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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.