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Finding the Fourth Proportional to 3,872.25, 5,808.40 and 950.56

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Solution

The fourth proportional to 3,872.25, 5,808.40 and 950.56 is: 1,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.25 : 5,808.40 = 950.56 : x
  2. Step 2: Convert to fraction form
    3,872.25/5,808.40 = 950.56/x
  3. Step 3: Cross multiply
    3,872.25x = 5,808.40 × 950.56
  4. Step 4: Simplify right side
    3,872.25x = 5,521,232.70
  5. Step 5: Solve for x
    x = 5,521,232.70/3,872.25
  6. Step 6: Final answer
    x = 1,425.85

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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.