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Finding the Fourth Proportional to 5,098.68, 7,648.82 and 2,177

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Solution

The fourth proportional to 5,098.68, 7,648.82 and 2,177 is: 3,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.68 : 7,648.82 = 2,177 : x
  2. Step 2: Convert to fraction form
    5,098.68/7,648.82 = 2,177/x
  3. Step 3: Cross multiply
    5,098.68x = 7,648.82 × 2,177
  4. Step 4: Simplify right side
    5,098.68x = 16,651,481.14
  5. Step 5: Solve for x
    x = 16,651,481.14/5,098.68
  6. Step 6: Final answer
    x = 3,265.84

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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.