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Finding the Fourth Proportional to 4,229.74, 6,340.83 and 2,837.62

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Solution

The fourth proportional to 4,229.74, 6,340.83 and 2,837.62 is: 4,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.74 : 6,340.83 = 2,837.62 : x
  2. Step 2: Convert to fraction form
    4,229.74/6,340.83 = 2,837.62/x
  3. Step 3: Cross multiply
    4,229.74x = 6,340.83 × 2,837.62
  4. Step 4: Simplify right side
    4,229.74x = 17,992,866.02
  5. Step 5: Solve for x
    x = 17,992,866.02/4,229.74
  6. Step 6: Final answer
    x = 4,253.89

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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.