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Finding the Fourth Proportional to 6,049.44, 8,337.60 and 5,880.96

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Solution

The fourth proportional to 6,049.44, 8,337.60 and 5,880.96 is: 8,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.44 : 8,337.60 = 5,880.96 : x
  2. Step 2: Convert to fraction form
    6,049.44/8,337.60 = 5,880.96/x
  3. Step 3: Cross multiply
    6,049.44x = 8,337.60 × 5,880.96
  4. Step 4: Simplify right side
    6,049.44x = 49,033,092.10
  5. Step 5: Solve for x
    x = 49,033,092.10/6,049.44
  6. Step 6: Final answer
    x = 8,105.39

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Why These Related Problems?

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