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Finding the Fourth Proportional to 3,815.67, 5,266.31 and 2,770.77

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Solution

The fourth proportional to 3,815.67, 5,266.31 and 2,770.77 is: 3,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.67 : 5,266.31 = 2,770.77 : x
  2. Step 2: Convert to fraction form
    3,815.67/5,266.31 = 2,770.77/x
  3. Step 3: Cross multiply
    3,815.67x = 5,266.31 × 2,770.77
  4. Step 4: Simplify right side
    3,815.67x = 14,591,719.90
  5. Step 5: Solve for x
    x = 14,591,719.90/3,815.67
  6. Step 6: Final answer
    x = 3,824.16

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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.