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Finding the Fourth Proportional to 5,472.42, 8,207.85 and 3,124.80

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Solution

The fourth proportional to 5,472.42, 8,207.85 and 3,124.80 is: 4,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.42 : 8,207.85 = 3,124.80 : x
  2. Step 2: Convert to fraction form
    5,472.42/8,207.85 = 3,124.80/x
  3. Step 3: Cross multiply
    5,472.42x = 8,207.85 × 3,124.80
  4. Step 4: Simplify right side
    5,472.42x = 25,647,889.68
  5. Step 5: Solve for x
    x = 25,647,889.68/5,472.42
  6. Step 6: Final answer
    x = 4,686.75

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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.