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Finding the Fourth Proportional to 3,404.37, 5,106.84 and 939.19

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Solution

The fourth proportional to 3,404.37, 5,106.84 and 939.19 is: 1,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.37 : 5,106.84 = 939.19 : x
  2. Step 2: Convert to fraction form
    3,404.37/5,106.84 = 939.19/x
  3. Step 3: Cross multiply
    3,404.37x = 5,106.84 × 939.19
  4. Step 4: Simplify right side
    3,404.37x = 4,796,262.83
  5. Step 5: Solve for x
    x = 4,796,262.83/3,404.37
  6. Step 6: Final answer
    x = 1,408.86

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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.