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Finding the Fourth Proportional to 3,787.29, 5,680.49 and 1,014.17

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Solution

The fourth proportional to 3,787.29, 5,680.49 and 1,014.17 is: 1,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.29 : 5,680.49 = 1,014.17 : x
  2. Step 2: Convert to fraction form
    3,787.29/5,680.49 = 1,014.17/x
  3. Step 3: Cross multiply
    3,787.29x = 5,680.49 × 1,014.17
  4. Step 4: Simplify right side
    3,787.29x = 5,760,949.07
  5. Step 5: Solve for x
    x = 5,760,949.07/3,787.29
  6. Step 6: Final answer
    x = 1,521.13

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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.