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Finding the Fourth Proportional to 5,826.39, 8,042.18 and 3,964.47

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Solution

The fourth proportional to 5,826.39, 8,042.18 and 3,964.47 is: 5,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.39 : 8,042.18 = 3,964.47 : x
  2. Step 2: Convert to fraction form
    5,826.39/8,042.18 = 3,964.47/x
  3. Step 3: Cross multiply
    5,826.39x = 8,042.18 × 3,964.47
  4. Step 4: Simplify right side
    5,826.39x = 31,882,961.52
  5. Step 5: Solve for x
    x = 31,882,961.52/5,826.39
  6. Step 6: Final answer
    x = 5,472.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.