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Finding the Fourth Proportional to 5,974.13, 8,245.20 and 3,617.64

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Solution

The fourth proportional to 5,974.13, 8,245.20 and 3,617.64 is: 4,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.13 : 8,245.20 = 3,617.64 : x
  2. Step 2: Convert to fraction form
    5,974.13/8,245.20 = 3,617.64/x
  3. Step 3: Cross multiply
    5,974.13x = 8,245.20 × 3,617.64
  4. Step 4: Simplify right side
    5,974.13x = 29,828,165.33
  5. Step 5: Solve for x
    x = 29,828,165.33/5,974.13
  6. Step 6: Final answer
    x = 4,992.89

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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.