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Finding the Fourth Proportional to 3,781.91, 5,630.42 and 3,763.69

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Solution

The fourth proportional to 3,781.91, 5,630.42 and 3,763.69 is: 5,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.91 : 5,630.42 = 3,763.69 : x
  2. Step 2: Convert to fraction form
    3,781.91/5,630.42 = 3,763.69/x
  3. Step 3: Cross multiply
    3,781.91x = 5,630.42 × 3,763.69
  4. Step 4: Simplify right side
    3,781.91x = 21,191,150.78
  5. Step 5: Solve for x
    x = 21,191,150.78/3,781.91
  6. Step 6: Final answer
    x = 5,603.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.