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Finding the Fourth Proportional to 6,046.69, 8,340.21 and 4,257.90

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Solution

The fourth proportional to 6,046.69, 8,340.21 and 4,257.90 is: 5,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.69 : 8,340.21 = 4,257.90 : x
  2. Step 2: Convert to fraction form
    6,046.69/8,340.21 = 4,257.90/x
  3. Step 3: Cross multiply
    6,046.69x = 8,340.21 × 4,257.90
  4. Step 4: Simplify right side
    6,046.69x = 35,511,780.16
  5. Step 5: Solve for x
    x = 35,511,780.16/6,046.69
  6. Step 6: Final answer
    x = 5,872.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.