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Finding the Fourth Proportional to 5,836.80, 8,738.76 and 5,246.31

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Solution

The fourth proportional to 5,836.80, 8,738.76 and 5,246.31 is: 7,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.80 : 8,738.76 = 5,246.31 : x
  2. Step 2: Convert to fraction form
    5,836.80/8,738.76 = 5,246.31/x
  3. Step 3: Cross multiply
    5,836.80x = 8,738.76 × 5,246.31
  4. Step 4: Simplify right side
    5,836.80x = 45,846,243.98
  5. Step 5: Solve for x
    x = 45,846,243.98/5,836.80
  6. Step 6: Final answer
    x = 7,854.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.