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Finding the Fourth Proportional to 3,186.87, 4,770.18 and 2,306.40

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Solution

The fourth proportional to 3,186.87, 4,770.18 and 2,306.40 is: 3,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.87 : 4,770.18 = 2,306.40 : x
  2. Step 2: Convert to fraction form
    3,186.87/4,770.18 = 2,306.40/x
  3. Step 3: Cross multiply
    3,186.87x = 4,770.18 × 2,306.40
  4. Step 4: Simplify right side
    3,186.87x = 11,001,943.15
  5. Step 5: Solve for x
    x = 11,001,943.15/3,186.87
  6. Step 6: Final answer
    x = 3,452.27

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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.