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Finding the Fourth Proportional to 5,125.50, 7,691.52 and 1,838.52

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Solution

The fourth proportional to 5,125.50, 7,691.52 and 1,838.52 is: 2,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.50 : 7,691.52 = 1,838.52 : x
  2. Step 2: Convert to fraction form
    5,125.50/7,691.52 = 1,838.52/x
  3. Step 3: Cross multiply
    5,125.50x = 7,691.52 × 1,838.52
  4. Step 4: Simplify right side
    5,125.50x = 14,141,013.35
  5. Step 5: Solve for x
    x = 14,141,013.35/5,125.50
  6. Step 6: Final answer
    x = 2,758.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.