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Finding the Fourth Proportional to 5,704.86, 8,556.12 and 2,584.92

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Solution

The fourth proportional to 5,704.86, 8,556.12 and 2,584.92 is: 3,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.86 : 8,556.12 = 2,584.92 : x
  2. Step 2: Convert to fraction form
    5,704.86/8,556.12 = 2,584.92/x
  3. Step 3: Cross multiply
    5,704.86x = 8,556.12 × 2,584.92
  4. Step 4: Simplify right side
    5,704.86x = 22,116,885.71
  5. Step 5: Solve for x
    x = 22,116,885.71/5,704.86
  6. Step 6: Final answer
    x = 3,876.85

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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.