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Finding the Fourth Proportional to 3,689.71, 5,091.66 and 2,011.08

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Solution

The fourth proportional to 3,689.71, 5,091.66 and 2,011.08 is: 2,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.71 : 5,091.66 = 2,011.08 : x
  2. Step 2: Convert to fraction form
    3,689.71/5,091.66 = 2,011.08/x
  3. Step 3: Cross multiply
    3,689.71x = 5,091.66 × 2,011.08
  4. Step 4: Simplify right side
    3,689.71x = 10,239,735.59
  5. Step 5: Solve for x
    x = 10,239,735.59/3,689.71
  6. Step 6: Final answer
    x = 2,775.22

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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.