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Finding the Fourth Proportional to 3,920.34, 5,872.41 and 3,141.66

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Solution

The fourth proportional to 3,920.34, 5,872.41 and 3,141.66 is: 4,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.34 : 5,872.41 = 3,141.66 : x
  2. Step 2: Convert to fraction form
    3,920.34/5,872.41 = 3,141.66/x
  3. Step 3: Cross multiply
    3,920.34x = 5,872.41 × 3,141.66
  4. Step 4: Simplify right side
    3,920.34x = 18,449,115.60
  5. Step 5: Solve for x
    x = 18,449,115.60/3,920.34
  6. Step 6: Final answer
    x = 4,706.00

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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.