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Finding the Fourth Proportional to 3,684.67, 5,527.01 and 3,034.04

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Solution

The fourth proportional to 3,684.67, 5,527.01 and 3,034.04 is: 4,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.67 : 5,527.01 = 3,034.04 : x
  2. Step 2: Convert to fraction form
    3,684.67/5,527.01 = 3,034.04/x
  3. Step 3: Cross multiply
    3,684.67x = 5,527.01 × 3,034.04
  4. Step 4: Simplify right side
    3,684.67x = 16,769,126.62
  5. Step 5: Solve for x
    x = 16,769,126.62/3,684.67
  6. Step 6: Final answer
    x = 4,551.06

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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.