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Finding the Fourth Proportional to 3,790.87, 5,686.31 and 1,480.75

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Solution

The fourth proportional to 3,790.87, 5,686.31 and 1,480.75 is: 2,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.87 : 5,686.31 = 1,480.75 : x
  2. Step 2: Convert to fraction form
    3,790.87/5,686.31 = 1,480.75/x
  3. Step 3: Cross multiply
    3,790.87x = 5,686.31 × 1,480.75
  4. Step 4: Simplify right side
    3,790.87x = 8,419,996.13
  5. Step 5: Solve for x
    x = 8,419,996.13/3,790.87
  6. Step 6: Final answer
    x = 2,221.13

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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.