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Finding the Fourth Proportional to 5,825.60, 8,738.40 and 5,739.20

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Solution

The fourth proportional to 5,825.60, 8,738.40 and 5,739.20 is: 8,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.60 : 8,738.40 = 5,739.20 : x
  2. Step 2: Convert to fraction form
    5,825.60/8,738.40 = 5,739.20/x
  3. Step 3: Cross multiply
    5,825.60x = 8,738.40 × 5,739.20
  4. Step 4: Simplify right side
    5,825.60x = 50,151,425.28
  5. Step 5: Solve for x
    x = 50,151,425.28/5,825.60
  6. Step 6: Final answer
    x = 8,608.80

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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.