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Finding the Fourth Proportional to 5,781.64, 8,667.18 and 2,083

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Solution

The fourth proportional to 5,781.64, 8,667.18 and 2,083 is: 3,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.64 : 8,667.18 = 2,083 : x
  2. Step 2: Convert to fraction form
    5,781.64/8,667.18 = 2,083/x
  3. Step 3: Cross multiply
    5,781.64x = 8,667.18 × 2,083
  4. Step 4: Simplify right side
    5,781.64x = 18,053,735.94
  5. Step 5: Solve for x
    x = 18,053,735.94/5,781.64
  6. Step 6: Final answer
    x = 3,122.60

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Why These Related Problems?

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