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Finding the Fourth Proportional to 3,781.29, 5,671.90 and 1,007.95

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Solution

The fourth proportional to 3,781.29, 5,671.90 and 1,007.95 is: 1,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.29 : 5,671.90 = 1,007.95 : x
  2. Step 2: Convert to fraction form
    3,781.29/5,671.90 = 1,007.95/x
  3. Step 3: Cross multiply
    3,781.29x = 5,671.90 × 1,007.95
  4. Step 4: Simplify right side
    3,781.29x = 5,716,991.61
  5. Step 5: Solve for x
    x = 5,716,991.61/3,781.29
  6. Step 6: Final answer
    x = 1,511.92

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Why These Related Problems?

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