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Finding the Fourth Proportional to 5,098.14, 7,648.02 and 2,500.88

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Solution

The fourth proportional to 5,098.14, 7,648.02 and 2,500.88 is: 3,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.14 : 7,648.02 = 2,500.88 : x
  2. Step 2: Convert to fraction form
    5,098.14/7,648.02 = 2,500.88/x
  3. Step 3: Cross multiply
    5,098.14x = 7,648.02 × 2,500.88
  4. Step 4: Simplify right side
    5,098.14x = 19,126,742.02
  5. Step 5: Solve for x
    x = 19,126,742.02/5,098.14
  6. Step 6: Final answer
    x = 3,751.71

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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.