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Finding the Fourth Proportional to 2,575.28, 3,532.04 and 2,469.44

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Solution

The fourth proportional to 2,575.28, 3,532.04 and 2,469.44 is: 3,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.28 : 3,532.04 = 2,469.44 : x
  2. Step 2: Convert to fraction form
    2,575.28/3,532.04 = 2,469.44/x
  3. Step 3: Cross multiply
    2,575.28x = 3,532.04 × 2,469.44
  4. Step 4: Simplify right side
    2,575.28x = 8,722,160.86
  5. Step 5: Solve for x
    x = 8,722,160.86/2,575.28
  6. Step 6: Final answer
    x = 3,386.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.