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Finding the Fourth Proportional to 3,952.96, 5,929.44 and 1,031.24

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Solution

The fourth proportional to 3,952.96, 5,929.44 and 1,031.24 is: 1,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.96 : 5,929.44 = 1,031.24 : x
  2. Step 2: Convert to fraction form
    3,952.96/5,929.44 = 1,031.24/x
  3. Step 3: Cross multiply
    3,952.96x = 5,929.44 × 1,031.24
  4. Step 4: Simplify right side
    3,952.96x = 6,114,653.31
  5. Step 5: Solve for x
    x = 6,114,653.31/3,952.96
  6. Step 6: Final answer
    x = 1,546.86

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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.