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Finding the Fourth Proportional to 5,000.14, 7,500.18 and 1,537.39

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Solution

The fourth proportional to 5,000.14, 7,500.18 and 1,537.39 is: 2,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.14 : 7,500.18 = 1,537.39 : x
  2. Step 2: Convert to fraction form
    5,000.14/7,500.18 = 1,537.39/x
  3. Step 3: Cross multiply
    5,000.14x = 7,500.18 × 1,537.39
  4. Step 4: Simplify right side
    5,000.14x = 11,530,701.73
  5. Step 5: Solve for x
    x = 11,530,701.73/5,000.14
  6. Step 6: Final answer
    x = 2,306.08

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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.