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Finding the Fourth Proportional to 5,832.80, 8,749.20 and 1,937.52

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Solution

The fourth proportional to 5,832.80, 8,749.20 and 1,937.52 is: 2,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.80 : 8,749.20 = 1,937.52 : x
  2. Step 2: Convert to fraction form
    5,832.80/8,749.20 = 1,937.52/x
  3. Step 3: Cross multiply
    5,832.80x = 8,749.20 × 1,937.52
  4. Step 4: Simplify right side
    5,832.80x = 16,951,749.98
  5. Step 5: Solve for x
    x = 16,951,749.98/5,832.80
  6. Step 6: Final answer
    x = 2,906.28

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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.