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Finding the Fourth Proportional to 3,112.71, 4,286.16 and 2,776.56

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Solution

The fourth proportional to 3,112.71, 4,286.16 and 2,776.56 is: 3,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.71 : 4,286.16 = 2,776.56 : x
  2. Step 2: Convert to fraction form
    3,112.71/4,286.16 = 2,776.56/x
  3. Step 3: Cross multiply
    3,112.71x = 4,286.16 × 2,776.56
  4. Step 4: Simplify right side
    3,112.71x = 11,900,780.41
  5. Step 5: Solve for x
    x = 11,900,780.41/3,112.71
  6. Step 6: Final answer
    x = 3,823.29

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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.