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Finding the Fourth Proportional to 5,069.82, 6,998.49 and 3,081

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Solution

The fourth proportional to 5,069.82, 6,998.49 and 3,081 is: 4,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.82 : 6,998.49 = 3,081 : x
  2. Step 2: Convert to fraction form
    5,069.82/6,998.49 = 3,081/x
  3. Step 3: Cross multiply
    5,069.82x = 6,998.49 × 3,081
  4. Step 4: Simplify right side
    5,069.82x = 21,562,347.69
  5. Step 5: Solve for x
    x = 21,562,347.69/5,069.82
  6. Step 6: Final answer
    x = 4,253.08

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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.