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Finding the Fourth Proportional to 5,972.60, 8,959.20 and 2,275.10

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Solution

The fourth proportional to 5,972.60, 8,959.20 and 2,275.10 is: 3,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.60 : 8,959.20 = 2,275.10 : x
  2. Step 2: Convert to fraction form
    5,972.60/8,959.20 = 2,275.10/x
  3. Step 3: Cross multiply
    5,972.60x = 8,959.20 × 2,275.10
  4. Step 4: Simplify right side
    5,972.60x = 20,383,031.12
  5. Step 5: Solve for x
    x = 20,383,031.12/5,972.60
  6. Step 6: Final answer
    x = 3,412.76

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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.