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Finding the Fourth Proportional to 5,578.92, 7,698.69 and 3,061.17

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Solution

The fourth proportional to 5,578.92, 7,698.69 and 3,061.17 is: 4,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.92 : 7,698.69 = 3,061.17 : x
  2. Step 2: Convert to fraction form
    5,578.92/7,698.69 = 3,061.17/x
  3. Step 3: Cross multiply
    5,578.92x = 7,698.69 × 3,061.17
  4. Step 4: Simplify right side
    5,578.92x = 23,566,998.87
  5. Step 5: Solve for x
    x = 23,566,998.87/5,578.92
  6. Step 6: Final answer
    x = 4,224.29

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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.