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Finding the Fourth Proportional to 5,667.59, 8,489.07 and 2,739.75

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Solution

The fourth proportional to 5,667.59, 8,489.07 and 2,739.75 is: 4,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.59 : 8,489.07 = 2,739.75 : x
  2. Step 2: Convert to fraction form
    5,667.59/8,489.07 = 2,739.75/x
  3. Step 3: Cross multiply
    5,667.59x = 8,489.07 × 2,739.75
  4. Step 4: Simplify right side
    5,667.59x = 23,257,929.53
  5. Step 5: Solve for x
    x = 23,257,929.53/5,667.59
  6. Step 6: Final answer
    x = 4,103.68

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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.