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Finding the Fourth Proportional to 5,747.60, 8,599.80 and 5,229.20

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Solution

The fourth proportional to 5,747.60, 8,599.80 and 5,229.20 is: 7,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.60 : 8,599.80 = 5,229.20 : x
  2. Step 2: Convert to fraction form
    5,747.60/8,599.80 = 5,229.20/x
  3. Step 3: Cross multiply
    5,747.60x = 8,599.80 × 5,229.20
  4. Step 4: Simplify right side
    5,747.60x = 44,970,074.16
  5. Step 5: Solve for x
    x = 44,970,074.16/5,747.60
  6. Step 6: Final answer
    x = 7,824.15

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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.