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Finding the Fourth Proportional to 4,044.86, 6,063.24 and 1,578.14

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Solution

The fourth proportional to 4,044.86, 6,063.24 and 1,578.14 is: 2,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.86 : 6,063.24 = 1,578.14 : x
  2. Step 2: Convert to fraction form
    4,044.86/6,063.24 = 1,578.14/x
  3. Step 3: Cross multiply
    4,044.86x = 6,063.24 × 1,578.14
  4. Step 4: Simplify right side
    4,044.86x = 9,568,641.57
  5. Step 5: Solve for x
    x = 9,568,641.57/4,044.86
  6. Step 6: Final answer
    x = 2,365.63

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