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Finding the Fourth Proportional to 3,857.61, 5,781.29 and 2,102.61

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Solution

The fourth proportional to 3,857.61, 5,781.29 and 2,102.61 is: 3,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.61 : 5,781.29 = 2,102.61 : x
  2. Step 2: Convert to fraction form
    3,857.61/5,781.29 = 2,102.61/x
  3. Step 3: Cross multiply
    3,857.61x = 5,781.29 × 2,102.61
  4. Step 4: Simplify right side
    3,857.61x = 12,155,787.65
  5. Step 5: Solve for x
    x = 12,155,787.65/3,857.61
  6. Step 6: Final answer
    x = 3,151.12

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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.