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Finding the Fourth Proportional to 5,494.43, 8,241.66 and 2,574.80

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Solution

The fourth proportional to 5,494.43, 8,241.66 and 2,574.80 is: 3,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.43 : 8,241.66 = 2,574.80 : x
  2. Step 2: Convert to fraction form
    5,494.43/8,241.66 = 2,574.80/x
  3. Step 3: Cross multiply
    5,494.43x = 8,241.66 × 2,574.80
  4. Step 4: Simplify right side
    5,494.43x = 21,220,626.17
  5. Step 5: Solve for x
    x = 21,220,626.17/5,494.43
  6. Step 6: Final answer
    x = 3,862.21

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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.