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Finding the Fourth Proportional to 5,103.57, 7,657.52 and 2,142.68

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Solution

The fourth proportional to 5,103.57, 7,657.52 and 2,142.68 is: 3,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.57 : 7,657.52 = 2,142.68 : x
  2. Step 2: Convert to fraction form
    5,103.57/7,657.52 = 2,142.68/x
  3. Step 3: Cross multiply
    5,103.57x = 7,657.52 × 2,142.68
  4. Step 4: Simplify right side
    5,103.57x = 16,407,565.95
  5. Step 5: Solve for x
    x = 16,407,565.95/5,103.57
  6. Step 6: Final answer
    x = 3,214.92

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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.