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Finding the Fourth Proportional to 3,952.75, 5,929.14 and 1,031.05

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Solution

The fourth proportional to 3,952.75, 5,929.14 and 1,031.05 is: 1,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.75 : 5,929.14 = 1,031.05 : x
  2. Step 2: Convert to fraction form
    3,952.75/5,929.14 = 1,031.05/x
  3. Step 3: Cross multiply
    3,952.75x = 5,929.14 × 1,031.05
  4. Step 4: Simplify right side
    3,952.75x = 6,113,239.80
  5. Step 5: Solve for x
    x = 6,113,239.80/3,952.75
  6. Step 6: Final answer
    x = 1,546.58

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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.