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Finding the Fourth Proportional to 5,311.74, 7,966.52 and 2,974.08

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Solution

The fourth proportional to 5,311.74, 7,966.52 and 2,974.08 is: 4,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.74 : 7,966.52 = 2,974.08 : x
  2. Step 2: Convert to fraction form
    5,311.74/7,966.52 = 2,974.08/x
  3. Step 3: Cross multiply
    5,311.74x = 7,966.52 × 2,974.08
  4. Step 4: Simplify right side
    5,311.74x = 23,693,067.80
  5. Step 5: Solve for x
    x = 23,693,067.80/5,311.74
  6. Step 6: Final answer
    x = 4,460.51

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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.