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Finding the Fourth Proportional to 4,388.40, 6,578.40 and 2,194.92

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Solution

The fourth proportional to 4,388.40, 6,578.40 and 2,194.92 is: 3,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.40 : 6,578.40 = 2,194.92 : x
  2. Step 2: Convert to fraction form
    4,388.40/6,578.40 = 2,194.92/x
  3. Step 3: Cross multiply
    4,388.40x = 6,578.40 × 2,194.92
  4. Step 4: Simplify right side
    4,388.40x = 14,439,061.73
  5. Step 5: Solve for x
    x = 14,439,061.73/4,388.40
  6. Step 6: Final answer
    x = 3,290.28

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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.