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Finding the Fourth Proportional to 5,833.80, 8,041.20 and 3,944.76

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Solution

The fourth proportional to 5,833.80, 8,041.20 and 3,944.76 is: 5,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.80 : 8,041.20 = 3,944.76 : x
  2. Step 2: Convert to fraction form
    5,833.80/8,041.20 = 3,944.76/x
  3. Step 3: Cross multiply
    5,833.80x = 8,041.20 × 3,944.76
  4. Step 4: Simplify right side
    5,833.80x = 31,720,604.11
  5. Step 5: Solve for x
    x = 31,720,604.11/5,833.80
  6. Step 6: Final answer
    x = 5,437.38

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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.