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Finding the Fourth Proportional to 6,377.70, 8,793.84 and 5,841.90

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Solution

The fourth proportional to 6,377.70, 8,793.84 and 5,841.90 is: 8,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.70 : 8,793.84 = 5,841.90 : x
  2. Step 2: Convert to fraction form
    6,377.70/8,793.84 = 5,841.90/x
  3. Step 3: Cross multiply
    6,377.70x = 8,793.84 × 5,841.90
  4. Step 4: Simplify right side
    6,377.70x = 51,372,733.90
  5. Step 5: Solve for x
    x = 51,372,733.90/6,377.70
  6. Step 6: Final answer
    x = 8,055.06

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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.