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Finding the Fourth Proportional to 3,468.12, 5,202.72 and 1,279.92

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Solution

The fourth proportional to 3,468.12, 5,202.72 and 1,279.92 is: 1,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.12 : 5,202.72 = 1,279.92 : x
  2. Step 2: Convert to fraction form
    3,468.12/5,202.72 = 1,279.92/x
  3. Step 3: Cross multiply
    3,468.12x = 5,202.72 × 1,279.92
  4. Step 4: Simplify right side
    3,468.12x = 6,659,065.38
  5. Step 5: Solve for x
    x = 6,659,065.38/3,468.12
  6. Step 6: Final answer
    x = 1,920.08

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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.