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Finding the Fourth Proportional to 6,379.86, 8,803.61 and 3,546.92

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Solution

The fourth proportional to 6,379.86, 8,803.61 and 3,546.92 is: 4,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.86 : 8,803.61 = 3,546.92 : x
  2. Step 2: Convert to fraction form
    6,379.86/8,803.61 = 3,546.92/x
  3. Step 3: Cross multiply
    6,379.86x = 8,803.61 × 3,546.92
  4. Step 4: Simplify right side
    6,379.86x = 31,225,700.38
  5. Step 5: Solve for x
    x = 31,225,700.38/6,379.86
  6. Step 6: Final answer
    x = 4,894.42

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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.