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Finding the Fourth Proportional to 3,527.38, 5,278.02 and 2,141.74

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Solution

The fourth proportional to 3,527.38, 5,278.02 and 2,141.74 is: 3,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.38 : 5,278.02 = 2,141.74 : x
  2. Step 2: Convert to fraction form
    3,527.38/5,278.02 = 2,141.74/x
  3. Step 3: Cross multiply
    3,527.38x = 5,278.02 × 2,141.74
  4. Step 4: Simplify right side
    3,527.38x = 11,304,146.55
  5. Step 5: Solve for x
    x = 11,304,146.55/3,527.38
  6. Step 6: Final answer
    x = 3,204.69

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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.