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Finding the Fourth Proportional to 5,071.65, 6,998.49 and 3,081.93

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Solution

The fourth proportional to 5,071.65, 6,998.49 and 3,081.93 is: 4,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.65 : 6,998.49 = 3,081.93 : x
  2. Step 2: Convert to fraction form
    5,071.65/6,998.49 = 3,081.93/x
  3. Step 3: Cross multiply
    5,071.65x = 6,998.49 × 3,081.93
  4. Step 4: Simplify right side
    5,071.65x = 21,568,856.29
  5. Step 5: Solve for x
    x = 21,568,856.29/5,071.65
  6. Step 6: Final answer
    x = 4,252.83

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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.