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Finding the Fourth Proportional to 4,076.91, 6,118.86 and 4,046.23

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Solution

The fourth proportional to 4,076.91, 6,118.86 and 4,046.23 is: 6,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.91 : 6,118.86 = 4,046.23 : x
  2. Step 2: Convert to fraction form
    4,076.91/6,118.86 = 4,046.23/x
  3. Step 3: Cross multiply
    4,076.91x = 6,118.86 × 4,046.23
  4. Step 4: Simplify right side
    4,076.91x = 24,758,314.90
  5. Step 5: Solve for x
    x = 24,758,314.90/4,076.91
  6. Step 6: Final answer
    x = 6,072.81

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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.