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Finding the Fourth Proportional to 4,194.86, 6,296.14 and 4,179.18

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Solution

The fourth proportional to 4,194.86, 6,296.14 and 4,179.18 is: 6,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.86 : 6,296.14 = 4,179.18 : x
  2. Step 2: Convert to fraction form
    4,194.86/6,296.14 = 4,179.18/x
  3. Step 3: Cross multiply
    4,194.86x = 6,296.14 × 4,179.18
  4. Step 4: Simplify right side
    4,194.86x = 26,312,702.37
  5. Step 5: Solve for x
    x = 26,312,702.37/4,194.86
  6. Step 6: Final answer
    x = 6,272.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.