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Finding the Fourth Proportional to 5,494.97, 8,248.61 and 3,649.69

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Solution

The fourth proportional to 5,494.97, 8,248.61 and 3,649.69 is: 5,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.97 : 8,248.61 = 3,649.69 : x
  2. Step 2: Convert to fraction form
    5,494.97/8,248.61 = 3,649.69/x
  3. Step 3: Cross multiply
    5,494.97x = 8,248.61 × 3,649.69
  4. Step 4: Simplify right side
    5,494.97x = 30,104,830.56
  5. Step 5: Solve for x
    x = 30,104,830.56/5,494.97
  6. Step 6: Final answer
    x = 5,478.61

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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.