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Finding the Fourth Proportional to 3,759.79, 5,641.61 and 1,540.24

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Solution

The fourth proportional to 3,759.79, 5,641.61 and 1,540.24 is: 2,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.79 : 5,641.61 = 1,540.24 : x
  2. Step 2: Convert to fraction form
    3,759.79/5,641.61 = 1,540.24/x
  3. Step 3: Cross multiply
    3,759.79x = 5,641.61 × 1,540.24
  4. Step 4: Simplify right side
    3,759.79x = 8,689,433.39
  5. Step 5: Solve for x
    x = 8,689,433.39/3,759.79
  6. Step 6: Final answer
    x = 2,311.15

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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.