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Finding the Fourth Proportional to 5,061, 7,578.12 and 4,068.96

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Solution

The fourth proportional to 5,061, 7,578.12 and 4,068.96 is: 6,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061 : 7,578.12 = 4,068.96 : x
  2. Step 2: Convert to fraction form
    5,061/7,578.12 = 4,068.96/x
  3. Step 3: Cross multiply
    5,061x = 7,578.12 × 4,068.96
  4. Step 4: Simplify right side
    5,061x = 30,835,067.16
  5. Step 5: Solve for x
    x = 30,835,067.16/5,061
  6. Step 6: Final answer
    x = 6,092.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.