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Finding the Fourth Proportional to 3,667.80, 5,061.54 and 1,989.20

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Solution

The fourth proportional to 3,667.80, 5,061.54 and 1,989.20 is: 2,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.80 : 5,061.54 = 1,989.20 : x
  2. Step 2: Convert to fraction form
    3,667.80/5,061.54 = 1,989.20/x
  3. Step 3: Cross multiply
    3,667.80x = 5,061.54 × 1,989.20
  4. Step 4: Simplify right side
    3,667.80x = 10,068,395.03
  5. Step 5: Solve for x
    x = 10,068,395.03/3,667.80
  6. Step 6: Final answer
    x = 2,745.08

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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.