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Finding the Fourth Proportional to 3,689.33, 5,091.14 and 2,010.71

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Solution

The fourth proportional to 3,689.33, 5,091.14 and 2,010.71 is: 2,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.33 : 5,091.14 = 2,010.71 : x
  2. Step 2: Convert to fraction form
    3,689.33/5,091.14 = 2,010.71/x
  3. Step 3: Cross multiply
    3,689.33x = 5,091.14 × 2,010.71
  4. Step 4: Simplify right side
    3,689.33x = 10,236,785.68
  5. Step 5: Solve for x
    x = 10,236,785.68/3,689.33
  6. Step 6: Final answer
    x = 2,774.70

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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.