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Finding the Fourth Proportional to 3,642.85, 5,468.33 and 2,002.60

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Solution

The fourth proportional to 3,642.85, 5,468.33 and 2,002.60 is: 3,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.85 : 5,468.33 = 2,002.60 : x
  2. Step 2: Convert to fraction form
    3,642.85/5,468.33 = 2,002.60/x
  3. Step 3: Cross multiply
    3,642.85x = 5,468.33 × 2,002.60
  4. Step 4: Simplify right side
    3,642.85x = 10,950,867.65
  5. Step 5: Solve for x
    x = 10,950,867.65/3,642.85
  6. Step 6: Final answer
    x = 3,006.13

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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.