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Finding the Fourth Proportional to 3,478.60, 5,217.90 and 1,286.56

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Solution

The fourth proportional to 3,478.60, 5,217.90 and 1,286.56 is: 1,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.60 : 5,217.90 = 1,286.56 : x
  2. Step 2: Convert to fraction form
    3,478.60/5,217.90 = 1,286.56/x
  3. Step 3: Cross multiply
    3,478.60x = 5,217.90 × 1,286.56
  4. Step 4: Simplify right side
    3,478.60x = 6,713,141.42
  5. Step 5: Solve for x
    x = 6,713,141.42/3,478.60
  6. Step 6: Final answer
    x = 1,929.84

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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.