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Finding the Fourth Proportional to 3,838.15, 5,755.17 and 1,371.62

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Solution

The fourth proportional to 3,838.15, 5,755.17 and 1,371.62 is: 2,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.15 : 5,755.17 = 1,371.62 : x
  2. Step 2: Convert to fraction form
    3,838.15/5,755.17 = 1,371.62/x
  3. Step 3: Cross multiply
    3,838.15x = 5,755.17 × 1,371.62
  4. Step 4: Simplify right side
    3,838.15x = 7,893,913.47
  5. Step 5: Solve for x
    x = 7,893,913.47/3,838.15
  6. Step 6: Final answer
    x = 2,056.70

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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.