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Finding the Fourth Proportional to 3,633.92, 5,002.24 and 3,167.36

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Solution

The fourth proportional to 3,633.92, 5,002.24 and 3,167.36 is: 4,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.92 : 5,002.24 = 3,167.36 : x
  2. Step 2: Convert to fraction form
    3,633.92/5,002.24 = 3,167.36/x
  3. Step 3: Cross multiply
    3,633.92x = 5,002.24 × 3,167.36
  4. Step 4: Simplify right side
    3,633.92x = 15,843,894.89
  5. Step 5: Solve for x
    x = 15,843,894.89/3,633.92
  6. Step 6: Final answer
    x = 4,360.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.