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Finding the Fourth Proportional to 3,781.93, 5,667.12 and 1,589.46

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Solution

The fourth proportional to 3,781.93, 5,667.12 and 1,589.46 is: 2,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.93 : 5,667.12 = 1,589.46 : x
  2. Step 2: Convert to fraction form
    3,781.93/5,667.12 = 1,589.46/x
  3. Step 3: Cross multiply
    3,781.93x = 5,667.12 × 1,589.46
  4. Step 4: Simplify right side
    3,781.93x = 9,007,660.56
  5. Step 5: Solve for x
    x = 9,007,660.56/3,781.93
  6. Step 6: Final answer
    x = 2,381.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.