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Finding the Fourth Proportional to 5,832.96, 8,753.90 and 2,138.68

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Solution

The fourth proportional to 5,832.96, 8,753.90 and 2,138.68 is: 3,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.96 : 8,753.90 = 2,138.68 : x
  2. Step 2: Convert to fraction form
    5,832.96/8,753.90 = 2,138.68/x
  3. Step 3: Cross multiply
    5,832.96x = 8,753.90 × 2,138.68
  4. Step 4: Simplify right side
    5,832.96x = 18,721,790.85
  5. Step 5: Solve for x
    x = 18,721,790.85/5,832.96
  6. Step 6: Final answer
    x = 3,209.66

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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.