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Finding the Fourth Proportional to 3,387.71, 5,080.29 and 1,165.92

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Solution

The fourth proportional to 3,387.71, 5,080.29 and 1,165.92 is: 1,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.71 : 5,080.29 = 1,165.92 : x
  2. Step 2: Convert to fraction form
    3,387.71/5,080.29 = 1,165.92/x
  3. Step 3: Cross multiply
    3,387.71x = 5,080.29 × 1,165.92
  4. Step 4: Simplify right side
    3,387.71x = 5,923,189.23
  5. Step 5: Solve for x
    x = 5,923,189.23/3,387.71
  6. Step 6: Final answer
    x = 1,748.44

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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.