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Finding the Fourth Proportional to 5,286.40, 7,294.08 and 3,422.72

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Solution

The fourth proportional to 5,286.40, 7,294.08 and 3,422.72 is: 4,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.40 : 7,294.08 = 3,422.72 : x
  2. Step 2: Convert to fraction form
    5,286.40/7,294.08 = 3,422.72/x
  3. Step 3: Cross multiply
    5,286.40x = 7,294.08 × 3,422.72
  4. Step 4: Simplify right side
    5,286.40x = 24,965,593.50
  5. Step 5: Solve for x
    x = 24,965,593.50/5,286.40
  6. Step 6: Final answer
    x = 4,722.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.