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Finding the Fourth Proportional to 3,972.25, 5,959.23 and 1,507.09

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Solution

The fourth proportional to 3,972.25, 5,959.23 and 1,507.09 is: 2,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.25 : 5,959.23 = 1,507.09 : x
  2. Step 2: Convert to fraction form
    3,972.25/5,959.23 = 1,507.09/x
  3. Step 3: Cross multiply
    3,972.25x = 5,959.23 × 1,507.09
  4. Step 4: Simplify right side
    3,972.25x = 8,981,095.94
  5. Step 5: Solve for x
    x = 8,981,095.94/3,972.25
  6. Step 6: Final answer
    x = 2,260.96

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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.