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Finding the Fourth Proportional to 5,832.42, 8,749.17 and 1,937.22

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Solution

The fourth proportional to 5,832.42, 8,749.17 and 1,937.22 is: 2,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.42 : 8,749.17 = 1,937.22 : x
  2. Step 2: Convert to fraction form
    5,832.42/8,749.17 = 1,937.22/x
  3. Step 3: Cross multiply
    5,832.42x = 8,749.17 × 1,937.22
  4. Step 4: Simplify right side
    5,832.42x = 16,949,067.11
  5. Step 5: Solve for x
    x = 16,949,067.11/5,832.42
  6. Step 6: Final answer
    x = 2,906.01

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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.