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Finding the Fourth Proportional to 3,494.44, 5,242.26 and 2,033.20

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Solution

The fourth proportional to 3,494.44, 5,242.26 and 2,033.20 is: 3,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.44 : 5,242.26 = 2,033.20 : x
  2. Step 2: Convert to fraction form
    3,494.44/5,242.26 = 2,033.20/x
  3. Step 3: Cross multiply
    3,494.44x = 5,242.26 × 2,033.20
  4. Step 4: Simplify right side
    3,494.44x = 10,658,536.82
  5. Step 5: Solve for x
    x = 10,658,536.82/3,494.44
  6. Step 6: Final answer
    x = 3,050.15

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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.