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Finding the Fourth Proportional to 5,489.74, 8,234.70 and 3,024.10

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Solution

The fourth proportional to 5,489.74, 8,234.70 and 3,024.10 is: 4,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.74 : 8,234.70 = 3,024.10 : x
  2. Step 2: Convert to fraction form
    5,489.74/8,234.70 = 3,024.10/x
  3. Step 3: Cross multiply
    5,489.74x = 8,234.70 × 3,024.10
  4. Step 4: Simplify right side
    5,489.74x = 24,902,556.27
  5. Step 5: Solve for x
    x = 24,902,556.27/5,489.74
  6. Step 6: Final answer
    x = 4,536.20

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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.