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Finding the Fourth Proportional to 5,949.46, 8,924.34 and 2,000.78

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Solution

The fourth proportional to 5,949.46, 8,924.34 and 2,000.78 is: 3,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.46 : 8,924.34 = 2,000.78 : x
  2. Step 2: Convert to fraction form
    5,949.46/8,924.34 = 2,000.78/x
  3. Step 3: Cross multiply
    5,949.46x = 8,924.34 × 2,000.78
  4. Step 4: Simplify right side
    5,949.46x = 17,855,640.99
  5. Step 5: Solve for x
    x = 17,855,640.99/5,949.46
  6. Step 6: Final answer
    x = 3,001.22

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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.