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Finding the Fourth Proportional to 5,974.24, 8,245.22 and 3,616.42

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Solution

The fourth proportional to 5,974.24, 8,245.22 and 3,616.42 is: 4,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.24 : 8,245.22 = 3,616.42 : x
  2. Step 2: Convert to fraction form
    5,974.24/8,245.22 = 3,616.42/x
  3. Step 3: Cross multiply
    5,974.24x = 8,245.22 × 3,616.42
  4. Step 4: Simplify right side
    5,974.24x = 29,818,178.51
  5. Step 5: Solve for x
    x = 29,818,178.51/5,974.24
  6. Step 6: Final answer
    x = 4,991.12

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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.