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Finding the Fourth Proportional to 4,190.54, 5,785.22 and 2,935.44

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Solution

The fourth proportional to 4,190.54, 5,785.22 and 2,935.44 is: 4,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.54 : 5,785.22 = 2,935.44 : x
  2. Step 2: Convert to fraction form
    4,190.54/5,785.22 = 2,935.44/x
  3. Step 3: Cross multiply
    4,190.54x = 5,785.22 × 2,935.44
  4. Step 4: Simplify right side
    4,190.54x = 16,982,173.54
  5. Step 5: Solve for x
    x = 16,982,173.54/4,190.54
  6. Step 6: Final answer
    x = 4,052.51

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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.