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Finding the Fourth Proportional to 3,744.52, 5,615.04 and 1,402.80

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Solution

The fourth proportional to 3,744.52, 5,615.04 and 1,402.80 is: 2,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.52 : 5,615.04 = 1,402.80 : x
  2. Step 2: Convert to fraction form
    3,744.52/5,615.04 = 1,402.80/x
  3. Step 3: Cross multiply
    3,744.52x = 5,615.04 × 1,402.80
  4. Step 4: Simplify right side
    3,744.52x = 7,876,778.11
  5. Step 5: Solve for x
    x = 7,876,778.11/3,744.52
  6. Step 6: Final answer
    x = 2,103.55

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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.