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Finding the Fourth Proportional to 3,865.46, 5,793.70 and 1,781.08

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Solution

The fourth proportional to 3,865.46, 5,793.70 and 1,781.08 is: 2,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.46 : 5,793.70 = 1,781.08 : x
  2. Step 2: Convert to fraction form
    3,865.46/5,793.70 = 1,781.08/x
  3. Step 3: Cross multiply
    3,865.46x = 5,793.70 × 1,781.08
  4. Step 4: Simplify right side
    3,865.46x = 10,319,043.20
  5. Step 5: Solve for x
    x = 10,319,043.20/3,865.46
  6. Step 6: Final answer
    x = 2,669.55

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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.