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Finding the Fourth Proportional to 3,667.62, 5,061.27 and 1,989

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Solution

The fourth proportional to 3,667.62, 5,061.27 and 1,989 is: 2,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.62 : 5,061.27 = 1,989 : x
  2. Step 2: Convert to fraction form
    3,667.62/5,061.27 = 1,989/x
  3. Step 3: Cross multiply
    3,667.62x = 5,061.27 × 1,989
  4. Step 4: Simplify right side
    3,667.62x = 10,066,866.03
  5. Step 5: Solve for x
    x = 10,066,866.03/3,667.62
  6. Step 6: Final answer
    x = 2,744.80

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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.