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Finding the Fourth Proportional to 3,952.86, 5,929.29 and 1,031.16

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Solution

The fourth proportional to 3,952.86, 5,929.29 and 1,031.16 is: 1,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.86 : 5,929.29 = 1,031.16 : x
  2. Step 2: Convert to fraction form
    3,952.86/5,929.29 = 1,031.16/x
  3. Step 3: Cross multiply
    3,952.86x = 5,929.29 × 1,031.16
  4. Step 4: Simplify right side
    3,952.86x = 6,114,046.68
  5. Step 5: Solve for x
    x = 6,114,046.68/3,952.86
  6. Step 6: Final answer
    x = 1,546.74

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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.