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Finding the Fourth Proportional to 4,188.66, 6,273.27 and 4,042.86

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Solution

The fourth proportional to 4,188.66, 6,273.27 and 4,042.86 is: 6,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.66 : 6,273.27 = 4,042.86 : x
  2. Step 2: Convert to fraction form
    4,188.66/6,273.27 = 4,042.86/x
  3. Step 3: Cross multiply
    4,188.66x = 6,273.27 × 4,042.86
  4. Step 4: Simplify right side
    4,188.66x = 25,361,952.35
  5. Step 5: Solve for x
    x = 25,361,952.35/4,188.66
  6. Step 6: Final answer
    x = 6,054.91

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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.