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Finding the Fourth Proportional to 5,832.77, 8,042.87 and 3,941.07

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Solution

The fourth proportional to 5,832.77, 8,042.87 and 3,941.07 is: 5,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.77 : 8,042.87 = 3,941.07 : x
  2. Step 2: Convert to fraction form
    5,832.77/8,042.87 = 3,941.07/x
  3. Step 3: Cross multiply
    5,832.77x = 8,042.87 × 3,941.07
  4. Step 4: Simplify right side
    5,832.77x = 31,697,493.97
  5. Step 5: Solve for x
    x = 31,697,493.97/5,832.77
  6. Step 6: Final answer
    x = 5,434.39

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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.