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Finding the Fourth Proportional to 5,498, 8,243.76 and 2,375.84

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Solution

The fourth proportional to 5,498, 8,243.76 and 2,375.84 is: 3,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498 : 8,243.76 = 2,375.84 : x
  2. Step 2: Convert to fraction form
    5,498/8,243.76 = 2,375.84/x
  3. Step 3: Cross multiply
    5,498x = 8,243.76 × 2,375.84
  4. Step 4: Simplify right side
    5,498x = 19,585,854.76
  5. Step 5: Solve for x
    x = 19,585,854.76/5,498
  6. Step 6: Final answer
    x = 3,562.36

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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.