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Finding the Fourth Proportional to 4,196.49, 6,287.46 and 2,549.58

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Solution

The fourth proportional to 4,196.49, 6,287.46 and 2,549.58 is: 3,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.49 : 6,287.46 = 2,549.58 : x
  2. Step 2: Convert to fraction form
    4,196.49/6,287.46 = 2,549.58/x
  3. Step 3: Cross multiply
    4,196.49x = 6,287.46 × 2,549.58
  4. Step 4: Simplify right side
    4,196.49x = 16,030,382.27
  5. Step 5: Solve for x
    x = 16,030,382.27/4,196.49
  6. Step 6: Final answer
    x = 3,819.95

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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.