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Finding the Fourth Proportional to 5,818.84, 8,724.61 and 3,842.37

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Solution

The fourth proportional to 5,818.84, 8,724.61 and 3,842.37 is: 5,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.84 : 8,724.61 = 3,842.37 : x
  2. Step 2: Convert to fraction form
    5,818.84/8,724.61 = 3,842.37/x
  3. Step 3: Cross multiply
    5,818.84x = 8,724.61 × 3,842.37
  4. Step 4: Simplify right side
    5,818.84x = 33,523,179.73
  5. Step 5: Solve for x
    x = 33,523,179.73/5,818.84
  6. Step 6: Final answer
    x = 5,761.14

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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.