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Finding the Fourth Proportional to 4,197.71, 6,296.40 and 1,077.73

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Solution

The fourth proportional to 4,197.71, 6,296.40 and 1,077.73 is: 1,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.71 : 6,296.40 = 1,077.73 : x
  2. Step 2: Convert to fraction form
    4,197.71/6,296.40 = 1,077.73/x
  3. Step 3: Cross multiply
    4,197.71x = 6,296.40 × 1,077.73
  4. Step 4: Simplify right side
    4,197.71x = 6,785,803.43
  5. Step 5: Solve for x
    x = 6,785,803.43/4,197.71
  6. Step 6: Final answer
    x = 1,616.55

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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.