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Finding the Fourth Proportional to 5,728.68, 8,592.21 and 2,806.20

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Solution

The fourth proportional to 5,728.68, 8,592.21 and 2,806.20 is: 4,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.68 : 8,592.21 = 2,806.20 : x
  2. Step 2: Convert to fraction form
    5,728.68/8,592.21 = 2,806.20/x
  3. Step 3: Cross multiply
    5,728.68x = 8,592.21 × 2,806.20
  4. Step 4: Simplify right side
    5,728.68x = 24,111,459.70
  5. Step 5: Solve for x
    x = 24,111,459.70/5,728.68
  6. Step 6: Final answer
    x = 4,208.90

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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.