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Finding the Fourth Proportional to 5,125.68, 7,691.72 and 1,838.70

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Solution

The fourth proportional to 5,125.68, 7,691.72 and 1,838.70 is: 2,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.68 : 7,691.72 = 1,838.70 : x
  2. Step 2: Convert to fraction form
    5,125.68/7,691.72 = 1,838.70/x
  3. Step 3: Cross multiply
    5,125.68x = 7,691.72 × 1,838.70
  4. Step 4: Simplify right side
    5,125.68x = 14,142,756.37
  5. Step 5: Solve for x
    x = 14,142,756.37/5,125.68
  6. Step 6: Final answer
    x = 2,759.20

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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.