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Finding the Fourth Proportional to 3,443.80, 5,167.50 and 3,257.92

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Solution

The fourth proportional to 3,443.80, 5,167.50 and 3,257.92 is: 4,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.80 : 5,167.50 = 3,257.92 : x
  2. Step 2: Convert to fraction form
    3,443.80/5,167.50 = 3,257.92/x
  3. Step 3: Cross multiply
    3,443.80x = 5,167.50 × 3,257.92
  4. Step 4: Simplify right side
    3,443.80x = 16,835,301.60
  5. Step 5: Solve for x
    x = 16,835,301.60/3,443.80
  6. Step 6: Final answer
    x = 4,888.58

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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.