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Finding the Fourth Proportional to 5,727.82, 7,902.78 and 3,489.76

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Solution

The fourth proportional to 5,727.82, 7,902.78 and 3,489.76 is: 4,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.82 : 7,902.78 = 3,489.76 : x
  2. Step 2: Convert to fraction form
    5,727.82/7,902.78 = 3,489.76/x
  3. Step 3: Cross multiply
    5,727.82x = 7,902.78 × 3,489.76
  4. Step 4: Simplify right side
    5,727.82x = 27,578,805.53
  5. Step 5: Solve for x
    x = 27,578,805.53/5,727.82
  6. Step 6: Final answer
    x = 4,814.89

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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.