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Finding the Fourth Proportional to 4,384.39, 6,578.80 and 1,919.22

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Solution

The fourth proportional to 4,384.39, 6,578.80 and 1,919.22 is: 2,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.39 : 6,578.80 = 1,919.22 : x
  2. Step 2: Convert to fraction form
    4,384.39/6,578.80 = 1,919.22/x
  3. Step 3: Cross multiply
    4,384.39x = 6,578.80 × 1,919.22
  4. Step 4: Simplify right side
    4,384.39x = 12,626,164.54
  5. Step 5: Solve for x
    x = 12,626,164.54/4,384.39
  6. Step 6: Final answer
    x = 2,879.80

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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.