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Finding the Fourth Proportional to 3,689.57, 5,540.62 and 2,464.85

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Solution

The fourth proportional to 3,689.57, 5,540.62 and 2,464.85 is: 3,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.57 : 5,540.62 = 2,464.85 : x
  2. Step 2: Convert to fraction form
    3,689.57/5,540.62 = 2,464.85/x
  3. Step 3: Cross multiply
    3,689.57x = 5,540.62 × 2,464.85
  4. Step 4: Simplify right side
    3,689.57x = 13,656,763.34
  5. Step 5: Solve for x
    x = 13,656,763.34/3,689.57
  6. Step 6: Final answer
    x = 3,701.46

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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.