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Finding the Fourth Proportional to 5,686.92, 8,522.64 and 2,759.76

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Solution

The fourth proportional to 5,686.92, 8,522.64 and 2,759.76 is: 4,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.92 : 8,522.64 = 2,759.76 : x
  2. Step 2: Convert to fraction form
    5,686.92/8,522.64 = 2,759.76/x
  3. Step 3: Cross multiply
    5,686.92x = 8,522.64 × 2,759.76
  4. Step 4: Simplify right side
    5,686.92x = 23,520,440.97
  5. Step 5: Solve for x
    x = 23,520,440.97/5,686.92
  6. Step 6: Final answer
    x = 4,135.88

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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.