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Finding the Fourth Proportional to 5,727.86, 8,591.94 and 1,567.92

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Solution

The fourth proportional to 5,727.86, 8,591.94 and 1,567.92 is: 2,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.86 : 8,591.94 = 1,567.92 : x
  2. Step 2: Convert to fraction form
    5,727.86/8,591.94 = 1,567.92/x
  3. Step 3: Cross multiply
    5,727.86x = 8,591.94 × 1,567.92
  4. Step 4: Simplify right side
    5,727.86x = 13,471,474.56
  5. Step 5: Solve for x
    x = 13,471,474.56/5,727.86
  6. Step 6: Final answer
    x = 2,351.92

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1.5x scale

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.