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Finding the Fourth Proportional to 6,284.38, 8,679.73 and 4,184.86

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Solution

The fourth proportional to 6,284.38, 8,679.73 and 4,184.86 is: 5,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.38 : 8,679.73 = 4,184.86 : x
  2. Step 2: Convert to fraction form
    6,284.38/8,679.73 = 4,184.86/x
  3. Step 3: Cross multiply
    6,284.38x = 8,679.73 × 4,184.86
  4. Step 4: Simplify right side
    6,284.38x = 36,323,454.89
  5. Step 5: Solve for x
    x = 36,323,454.89/6,284.38
  6. Step 6: Final answer
    x = 5,779.96

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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.