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Finding the Fourth Proportional to 5,974.68, 8,245.76 and 3,616.80

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Solution

The fourth proportional to 5,974.68, 8,245.76 and 3,616.80 is: 4,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.68 : 8,245.76 = 3,616.80 : x
  2. Step 2: Convert to fraction form
    5,974.68/8,245.76 = 3,616.80/x
  3. Step 3: Cross multiply
    5,974.68x = 8,245.76 × 3,616.80
  4. Step 4: Simplify right side
    5,974.68x = 29,823,264.77
  5. Step 5: Solve for x
    x = 29,823,264.77/5,974.68
  6. Step 6: Final answer
    x = 4,991.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.