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Finding the Fourth Proportional to 5,222.99, 7,832.93 and 1,524.23

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Solution

The fourth proportional to 5,222.99, 7,832.93 and 1,524.23 is: 2,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.99 : 7,832.93 = 1,524.23 : x
  2. Step 2: Convert to fraction form
    5,222.99/7,832.93 = 1,524.23/x
  3. Step 3: Cross multiply
    5,222.99x = 7,832.93 × 1,524.23
  4. Step 4: Simplify right side
    5,222.99x = 11,939,147.73
  5. Step 5: Solve for x
    x = 11,939,147.73/5,222.99
  6. Step 6: Final answer
    x = 2,285.88

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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.