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Finding the Fourth Proportional to 5,832.90, 8,049.39 and 3,314.90

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Solution

The fourth proportional to 5,832.90, 8,049.39 and 3,314.90 is: 4,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.90 : 8,049.39 = 3,314.90 : x
  2. Step 2: Convert to fraction form
    5,832.90/8,049.39 = 3,314.90/x
  3. Step 3: Cross multiply
    5,832.90x = 8,049.39 × 3,314.90
  4. Step 4: Simplify right side
    5,832.90x = 26,682,922.91
  5. Step 5: Solve for x
    x = 26,682,922.91/5,832.90
  6. Step 6: Final answer
    x = 4,574.56

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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.