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Finding the Fourth Proportional to 3,666.87, 5,502.23 and 2,002.18

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Solution

The fourth proportional to 3,666.87, 5,502.23 and 2,002.18 is: 3,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.87 : 5,502.23 = 2,002.18 : x
  2. Step 2: Convert to fraction form
    3,666.87/5,502.23 = 2,002.18/x
  3. Step 3: Cross multiply
    3,666.87x = 5,502.23 × 2,002.18
  4. Step 4: Simplify right side
    3,666.87x = 11,016,454.86
  5. Step 5: Solve for x
    x = 11,016,454.86/3,666.87
  6. Step 6: Final answer
    x = 3,004.32

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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.