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Finding the Fourth Proportional to 3,952.60, 5,929 and 1,031.04

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Solution

The fourth proportional to 3,952.60, 5,929 and 1,031.04 is: 1,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.60 : 5,929 = 1,031.04 : x
  2. Step 2: Convert to fraction form
    3,952.60/5,929 = 1,031.04/x
  3. Step 3: Cross multiply
    3,952.60x = 5,929 × 1,031.04
  4. Step 4: Simplify right side
    3,952.60x = 6,113,036.16
  5. Step 5: Solve for x
    x = 6,113,036.16/3,952.60
  6. Step 6: Final answer
    x = 1,546.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.