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Finding the Fourth Proportional to 5,781.50, 8,672.92 and 2,032.13

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Solution

The fourth proportional to 5,781.50, 8,672.92 and 2,032.13 is: 3,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.50 : 8,672.92 = 2,032.13 : x
  2. Step 2: Convert to fraction form
    5,781.50/8,672.92 = 2,032.13/x
  3. Step 3: Cross multiply
    5,781.50x = 8,672.92 × 2,032.13
  4. Step 4: Simplify right side
    5,781.50x = 17,624,500.92
  5. Step 5: Solve for x
    x = 17,624,500.92/5,781.50
  6. Step 6: Final answer
    x = 3,048.43

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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.