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Finding the Fourth Proportional to 3,689.41, 5,091.54 and 2,010.91

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Solution

The fourth proportional to 3,689.41, 5,091.54 and 2,010.91 is: 2,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.41 : 5,091.54 = 2,010.91 : x
  2. Step 2: Convert to fraction form
    3,689.41/5,091.54 = 2,010.91/x
  3. Step 3: Cross multiply
    3,689.41x = 5,091.54 × 2,010.91
  4. Step 4: Simplify right side
    3,689.41x = 10,238,628.70
  5. Step 5: Solve for x
    x = 10,238,628.70/3,689.41
  6. Step 6: Final answer
    x = 2,775.14

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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.