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Finding the Fourth Proportional to 4,198.52, 6,298.71 and 1,277.05

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Solution

The fourth proportional to 4,198.52, 6,298.71 and 1,277.05 is: 1,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.52 : 6,298.71 = 1,277.05 : x
  2. Step 2: Convert to fraction form
    4,198.52/6,298.71 = 1,277.05/x
  3. Step 3: Cross multiply
    4,198.52x = 6,298.71 × 1,277.05
  4. Step 4: Simplify right side
    4,198.52x = 8,043,766.06
  5. Step 5: Solve for x
    x = 8,043,766.06/4,198.52
  6. Step 6: Final answer
    x = 1,915.86

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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.