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Finding the Fourth Proportional to 5,728.24, 8,575.80 and 3,967.60

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Solution

The fourth proportional to 5,728.24, 8,575.80 and 3,967.60 is: 5,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.24 : 8,575.80 = 3,967.60 : x
  2. Step 2: Convert to fraction form
    5,728.24/8,575.80 = 3,967.60/x
  3. Step 3: Cross multiply
    5,728.24x = 8,575.80 × 3,967.60
  4. Step 4: Simplify right side
    5,728.24x = 34,025,344.08
  5. Step 5: Solve for x
    x = 34,025,344.08/5,728.24
  6. Step 6: Final answer
    x = 5,939.93

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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.