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Finding the Fourth Proportional to 5,679.91, 7,838.06 and 3,162.12

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Solution

The fourth proportional to 5,679.91, 7,838.06 and 3,162.12 is: 4,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.91 : 7,838.06 = 3,162.12 : x
  2. Step 2: Convert to fraction form
    5,679.91/7,838.06 = 3,162.12/x
  3. Step 3: Cross multiply
    5,679.91x = 7,838.06 × 3,162.12
  4. Step 4: Simplify right side
    5,679.91x = 24,784,886.29
  5. Step 5: Solve for x
    x = 24,784,886.29/5,679.91
  6. Step 6: Final answer
    x = 4,363.61

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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.