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Finding the Fourth Proportional to 3,701.59, 5,550.31 and 1,507.75

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Solution

The fourth proportional to 3,701.59, 5,550.31 and 1,507.75 is: 2,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.59 : 5,550.31 = 1,507.75 : x
  2. Step 2: Convert to fraction form
    3,701.59/5,550.31 = 1,507.75/x
  3. Step 3: Cross multiply
    3,701.59x = 5,550.31 × 1,507.75
  4. Step 4: Simplify right side
    3,701.59x = 8,368,479.90
  5. Step 5: Solve for x
    x = 8,368,479.90/3,701.59
  6. Step 6: Final answer
    x = 2,260.78

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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.