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Finding the Fourth Proportional to 3,952.86, 5,929.64 and 1,031.19

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Solution

The fourth proportional to 3,952.86, 5,929.64 and 1,031.19 is: 1,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.86 : 5,929.64 = 1,031.19 : x
  2. Step 2: Convert to fraction form
    3,952.86/5,929.64 = 1,031.19/x
  3. Step 3: Cross multiply
    3,952.86x = 5,929.64 × 1,031.19
  4. Step 4: Simplify right side
    3,952.86x = 6,114,585.47
  5. Step 5: Solve for x
    x = 6,114,585.47/3,952.86
  6. Step 6: Final answer
    x = 1,546.88

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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.