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Finding the Fourth Proportional to 3,508.28, 5,257.86 and 1,425.86

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Solution

The fourth proportional to 3,508.28, 5,257.86 and 1,425.86 is: 2,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.28 : 5,257.86 = 1,425.86 : x
  2. Step 2: Convert to fraction form
    3,508.28/5,257.86 = 1,425.86/x
  3. Step 3: Cross multiply
    3,508.28x = 5,257.86 × 1,425.86
  4. Step 4: Simplify right side
    3,508.28x = 7,496,945.55
  5. Step 5: Solve for x
    x = 7,496,945.55/3,508.28
  6. Step 6: Final answer
    x = 2,136.93

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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.