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Finding the Fourth Proportional to 3,436.62, 5,145.12 and 3,218.66

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Solution

The fourth proportional to 3,436.62, 5,145.12 and 3,218.66 is: 4,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.62 : 5,145.12 = 3,218.66 : x
  2. Step 2: Convert to fraction form
    3,436.62/5,145.12 = 3,218.66/x
  3. Step 3: Cross multiply
    3,436.62x = 5,145.12 × 3,218.66
  4. Step 4: Simplify right side
    3,436.62x = 16,560,366.21
  5. Step 5: Solve for x
    x = 16,560,366.21/3,436.62
  6. Step 6: Final answer
    x = 4,818.79

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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.