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Finding the Fourth Proportional to 5,387.28, 8,077.60 and 2,096.53

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Solution

The fourth proportional to 5,387.28, 8,077.60 and 2,096.53 is: 3,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.28 : 8,077.60 = 2,096.53 : x
  2. Step 2: Convert to fraction form
    5,387.28/8,077.60 = 2,096.53/x
  3. Step 3: Cross multiply
    5,387.28x = 8,077.60 × 2,096.53
  4. Step 4: Simplify right side
    5,387.28x = 16,934,930.73
  5. Step 5: Solve for x
    x = 16,934,930.73/5,387.28
  6. Step 6: Final answer
    x = 3,143.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.