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Finding the Fourth Proportional to 3,667.48, 5,061 and 2,074.19

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Solution

The fourth proportional to 3,667.48, 5,061 and 2,074.19 is: 2,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.48 : 5,061 = 2,074.19 : x
  2. Step 2: Convert to fraction form
    3,667.48/5,061 = 2,074.19/x
  3. Step 3: Cross multiply
    3,667.48x = 5,061 × 2,074.19
  4. Step 4: Simplify right side
    3,667.48x = 10,497,475.59
  5. Step 5: Solve for x
    x = 10,497,475.59/3,667.48
  6. Step 6: Final answer
    x = 2,862.31

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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.