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Finding the Fourth Proportional to 3,862.78, 5,793.25 and 1,781.48

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Solution

The fourth proportional to 3,862.78, 5,793.25 and 1,781.48 is: 2,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.78 : 5,793.25 = 1,781.48 : x
  2. Step 2: Convert to fraction form
    3,862.78/5,793.25 = 1,781.48/x
  3. Step 3: Cross multiply
    3,862.78x = 5,793.25 × 1,781.48
  4. Step 4: Simplify right side
    3,862.78x = 10,320,559.01
  5. Step 5: Solve for x
    x = 10,320,559.01/3,862.78
  6. Step 6: Final answer
    x = 2,671.80

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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.