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Finding the Fourth Proportional to 5,781.36, 7,982.19 and 3,795.30

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Solution

The fourth proportional to 5,781.36, 7,982.19 and 3,795.30 is: 5,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.36 : 7,982.19 = 3,795.30 : x
  2. Step 2: Convert to fraction form
    5,781.36/7,982.19 = 3,795.30/x
  3. Step 3: Cross multiply
    5,781.36x = 7,982.19 × 3,795.30
  4. Step 4: Simplify right side
    5,781.36x = 30,294,805.71
  5. Step 5: Solve for x
    x = 30,294,805.71/5,781.36
  6. Step 6: Final answer
    x = 5,240.08

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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.