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Finding the Fourth Proportional to 3,667.64, 5,061.20 and 1,989.02

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Solution

The fourth proportional to 3,667.64, 5,061.20 and 1,989.02 is: 2,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.64 : 5,061.20 = 1,989.02 : x
  2. Step 2: Convert to fraction form
    3,667.64/5,061.20 = 1,989.02/x
  3. Step 3: Cross multiply
    3,667.64x = 5,061.20 × 1,989.02
  4. Step 4: Simplify right side
    3,667.64x = 10,066,807.69
  5. Step 5: Solve for x
    x = 10,066,807.69/3,667.64
  6. Step 6: Final answer
    x = 2,744.77

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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.