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Finding the Fourth Proportional to 6,463.29, 8,919.78 and 4,342.38

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Solution

The fourth proportional to 6,463.29, 8,919.78 and 4,342.38 is: 5,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.29 : 8,919.78 = 4,342.38 : x
  2. Step 2: Convert to fraction form
    6,463.29/8,919.78 = 4,342.38/x
  3. Step 3: Cross multiply
    6,463.29x = 8,919.78 × 4,342.38
  4. Step 4: Simplify right side
    6,463.29x = 38,733,074.28
  5. Step 5: Solve for x
    x = 38,733,074.28/6,463.29
  6. Step 6: Final answer
    x = 5,992.78

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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.