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Finding the Fourth Proportional to 5,654.29, 7,798.99 and 3,882.82

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Solution

The fourth proportional to 5,654.29, 7,798.99 and 3,882.82 is: 5,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.29 : 7,798.99 = 3,882.82 : x
  2. Step 2: Convert to fraction form
    5,654.29/7,798.99 = 3,882.82/x
  3. Step 3: Cross multiply
    5,654.29x = 7,798.99 × 3,882.82
  4. Step 4: Simplify right side
    5,654.29x = 30,282,074.35
  5. Step 5: Solve for x
    x = 30,282,074.35/5,654.29
  6. Step 6: Final answer
    x = 5,355.59

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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.