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Finding the Fourth Proportional to 5,286.38, 7,926.60 and 2,648

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Solution

The fourth proportional to 5,286.38, 7,926.60 and 2,648 is: 3,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.38 : 7,926.60 = 2,648 : x
  2. Step 2: Convert to fraction form
    5,286.38/7,926.60 = 2,648/x
  3. Step 3: Cross multiply
    5,286.38x = 7,926.60 × 2,648
  4. Step 4: Simplify right side
    5,286.38x = 20,989,636.80
  5. Step 5: Solve for x
    x = 20,989,636.80/5,286.38
  6. Step 6: Final answer
    x = 3,970.51

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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.