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Finding the Fourth Proportional to 6,337.83, 8,741.07 and 4,843.38

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Solution

The fourth proportional to 6,337.83, 8,741.07 and 4,843.38 is: 6,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.83 : 8,741.07 = 4,843.38 : x
  2. Step 2: Convert to fraction form
    6,337.83/8,741.07 = 4,843.38/x
  3. Step 3: Cross multiply
    6,337.83x = 8,741.07 × 4,843.38
  4. Step 4: Simplify right side
    6,337.83x = 42,336,323.62
  5. Step 5: Solve for x
    x = 42,336,323.62/6,337.83
  6. Step 6: Final answer
    x = 6,679.94

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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.