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Finding the Fourth Proportional to 4,190.40, 5,788.80 and 3,844.80

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Solution

The fourth proportional to 4,190.40, 5,788.80 and 3,844.80 is: 5,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.40 : 5,788.80 = 3,844.80 : x
  2. Step 2: Convert to fraction form
    4,190.40/5,788.80 = 3,844.80/x
  3. Step 3: Cross multiply
    4,190.40x = 5,788.80 × 3,844.80
  4. Step 4: Simplify right side
    4,190.40x = 22,256,778.24
  5. Step 5: Solve for x
    x = 22,256,778.24/4,190.40
  6. Step 6: Final answer
    x = 5,311.37

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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.