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Finding the Fourth Proportional to 6,338.48, 8,743.34 and 3,976.52

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Solution

The fourth proportional to 6,338.48, 8,743.34 and 3,976.52 is: 5,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.48 : 8,743.34 = 3,976.52 : x
  2. Step 2: Convert to fraction form
    6,338.48/8,743.34 = 3,976.52/x
  3. Step 3: Cross multiply
    6,338.48x = 8,743.34 × 3,976.52
  4. Step 4: Simplify right side
    6,338.48x = 34,768,066.38
  5. Step 5: Solve for x
    x = 34,768,066.38/6,338.48
  6. Step 6: Final answer
    x = 5,485.24

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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.