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Finding the Fourth Proportional to 5,678.82, 7,838.91 and 4,198.65

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Solution

The fourth proportional to 5,678.82, 7,838.91 and 4,198.65 is: 5,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.82 : 7,838.91 = 4,198.65 : x
  2. Step 2: Convert to fraction form
    5,678.82/7,838.91 = 4,198.65/x
  3. Step 3: Cross multiply
    5,678.82x = 7,838.91 × 4,198.65
  4. Step 4: Simplify right side
    5,678.82x = 32,912,839.47
  5. Step 5: Solve for x
    x = 32,912,839.47/5,678.82
  6. Step 6: Final answer
    x = 5,795.72

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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.