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Finding the Fourth Proportional to 4,078.70, 5,627.80 and 2,817.76

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Solution

The fourth proportional to 4,078.70, 5,627.80 and 2,817.76 is: 3,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.70 : 5,627.80 = 2,817.76 : x
  2. Step 2: Convert to fraction form
    4,078.70/5,627.80 = 2,817.76/x
  3. Step 3: Cross multiply
    4,078.70x = 5,627.80 × 2,817.76
  4. Step 4: Simplify right side
    4,078.70x = 15,857,789.73
  5. Step 5: Solve for x
    x = 15,857,789.73/4,078.70
  6. Step 6: Final answer
    x = 3,887.95

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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.