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Finding the Fourth Proportional to 5,286.19, 7,934.46 and 4,414.27

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Solution

The fourth proportional to 5,286.19, 7,934.46 and 4,414.27 is: 6,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.19 : 7,934.46 = 4,414.27 : x
  2. Step 2: Convert to fraction form
    5,286.19/7,934.46 = 4,414.27/x
  3. Step 3: Cross multiply
    5,286.19x = 7,934.46 × 4,414.27
  4. Step 4: Simplify right side
    5,286.19x = 35,024,848.74
  5. Step 5: Solve for x
    x = 35,024,848.74/5,286.19
  6. Step 6: Final answer
    x = 6,625.73

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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.