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Finding the Fourth Proportional to 3,760.80, 5,644.40 and 3,031.20

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Solution

The fourth proportional to 3,760.80, 5,644.40 and 3,031.20 is: 4,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.80 : 5,644.40 = 3,031.20 : x
  2. Step 2: Convert to fraction form
    3,760.80/5,644.40 = 3,031.20/x
  3. Step 3: Cross multiply
    3,760.80x = 5,644.40 × 3,031.20
  4. Step 4: Simplify right side
    3,760.80x = 17,109,305.28
  5. Step 5: Solve for x
    x = 17,109,305.28/3,760.80
  6. Step 6: Final answer
    x = 4,549.38

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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.