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Finding the Fourth Proportional to 3,489.51, 5,229.45 and 2,565.57

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Solution

The fourth proportional to 3,489.51, 5,229.45 and 2,565.57 is: 3,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.51 : 5,229.45 = 2,565.57 : x
  2. Step 2: Convert to fraction form
    3,489.51/5,229.45 = 2,565.57/x
  3. Step 3: Cross multiply
    3,489.51x = 5,229.45 × 2,565.57
  4. Step 4: Simplify right side
    3,489.51x = 13,416,520.04
  5. Step 5: Solve for x
    x = 13,416,520.04/3,489.51
  6. Step 6: Final answer
    x = 3,844.81

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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.