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Finding the Fourth Proportional to 3,667.49, 5,061.06 and 2,074.11

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Solution

The fourth proportional to 3,667.49, 5,061.06 and 2,074.11 is: 2,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.49 : 5,061.06 = 2,074.11 : x
  2. Step 2: Convert to fraction form
    3,667.49/5,061.06 = 2,074.11/x
  3. Step 3: Cross multiply
    3,667.49x = 5,061.06 × 2,074.11
  4. Step 4: Simplify right side
    3,667.49x = 10,497,195.16
  5. Step 5: Solve for x
    x = 10,497,195.16/3,667.49
  6. Step 6: Final answer
    x = 2,862.23

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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.