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Finding the Fourth Proportional to 5,865.74, 8,793.84 and 2,744.24

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Solution

The fourth proportional to 5,865.74, 8,793.84 and 2,744.24 is: 4,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.74 : 8,793.84 = 2,744.24 : x
  2. Step 2: Convert to fraction form
    5,865.74/8,793.84 = 2,744.24/x
  3. Step 3: Cross multiply
    5,865.74x = 8,793.84 × 2,744.24
  4. Step 4: Simplify right side
    5,865.74x = 24,132,407.48
  5. Step 5: Solve for x
    x = 24,132,407.48/5,865.74
  6. Step 6: Final answer
    x = 4,114.13

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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.