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Finding the Fourth Proportional to 3,404.44, 5,106.52 and 939.20

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Solution

The fourth proportional to 3,404.44, 5,106.52 and 939.20 is: 1,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.44 : 5,106.52 = 939.20 : x
  2. Step 2: Convert to fraction form
    3,404.44/5,106.52 = 939.20/x
  3. Step 3: Cross multiply
    3,404.44x = 5,106.52 × 939.20
  4. Step 4: Simplify right side
    3,404.44x = 4,796,016.58
  5. Step 5: Solve for x
    x = 4,796,016.58/3,404.44
  6. Step 6: Final answer
    x = 1,408.75

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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.