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Finding the Fourth Proportional to 5,286.58, 7,928.72 and 2,165.78

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Solution

The fourth proportional to 5,286.58, 7,928.72 and 2,165.78 is: 3,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.58 : 7,928.72 = 2,165.78 : x
  2. Step 2: Convert to fraction form
    5,286.58/7,928.72 = 2,165.78/x
  3. Step 3: Cross multiply
    5,286.58x = 7,928.72 × 2,165.78
  4. Step 4: Simplify right side
    5,286.58x = 17,171,863.20
  5. Step 5: Solve for x
    x = 17,171,863.20/5,286.58
  6. Step 6: Final answer
    x = 3,248.20

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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.