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Finding the Fourth Proportional to 3,232.12, 4,854.12 and 2,002

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Solution

The fourth proportional to 3,232.12, 4,854.12 and 2,002 is: 3,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.12 : 4,854.12 = 2,002 : x
  2. Step 2: Convert to fraction form
    3,232.12/4,854.12 = 2,002/x
  3. Step 3: Cross multiply
    3,232.12x = 4,854.12 × 2,002
  4. Step 4: Simplify right side
    3,232.12x = 9,717,948.24
  5. Step 5: Solve for x
    x = 9,717,948.24/3,232.12
  6. Step 6: Final answer
    x = 3,006.68

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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.