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Finding the Fourth Proportional to 6,578.45, 9,081.42 and 3,890.13

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Solution

The fourth proportional to 6,578.45, 9,081.42 and 3,890.13 is: 5,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.45 : 9,081.42 = 3,890.13 : x
  2. Step 2: Convert to fraction form
    6,578.45/9,081.42 = 3,890.13/x
  3. Step 3: Cross multiply
    6,578.45x = 9,081.42 × 3,890.13
  4. Step 4: Simplify right side
    6,578.45x = 35,327,904.38
  5. Step 5: Solve for x
    x = 35,327,904.38/6,578.45
  6. Step 6: Final answer
    x = 5,370.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.