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Finding the Fourth Proportional to 3,902.34, 5,853.69 and 2,169.66

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Solution

The fourth proportional to 3,902.34, 5,853.69 and 2,169.66 is: 3,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.34 : 5,853.69 = 2,169.66 : x
  2. Step 2: Convert to fraction form
    3,902.34/5,853.69 = 2,169.66/x
  3. Step 3: Cross multiply
    3,902.34x = 5,853.69 × 2,169.66
  4. Step 4: Simplify right side
    3,902.34x = 12,700,517.05
  5. Step 5: Solve for x
    x = 12,700,517.05/3,902.34
  6. Step 6: Final answer
    x = 3,254.59

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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.