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Finding the Fourth Proportional to 3,468.60, 5,198.04 and 2,601.96

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Solution

The fourth proportional to 3,468.60, 5,198.04 and 2,601.96 is: 3,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.60 : 5,198.04 = 2,601.96 : x
  2. Step 2: Convert to fraction form
    3,468.60/5,198.04 = 2,601.96/x
  3. Step 3: Cross multiply
    3,468.60x = 5,198.04 × 2,601.96
  4. Step 4: Simplify right side
    3,468.60x = 13,525,092.16
  5. Step 5: Solve for x
    x = 13,525,092.16/3,468.60
  6. Step 6: Final answer
    x = 3,899.29

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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.