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Finding the Fourth Proportional to 3,847.32, 5,770.98 and 2,202.72

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Solution

The fourth proportional to 3,847.32, 5,770.98 and 2,202.72 is: 3,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.32 : 5,770.98 = 2,202.72 : x
  2. Step 2: Convert to fraction form
    3,847.32/5,770.98 = 2,202.72/x
  3. Step 3: Cross multiply
    3,847.32x = 5,770.98 × 2,202.72
  4. Step 4: Simplify right side
    3,847.32x = 12,711,853.07
  5. Step 5: Solve for x
    x = 12,711,853.07/3,847.32
  6. Step 6: Final answer
    x = 3,304.08

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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.