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Finding the Fourth Proportional to 3,404.31, 5,106.45 and 939.15

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Solution

The fourth proportional to 3,404.31, 5,106.45 and 939.15 is: 1,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.31 : 5,106.45 = 939.15 : x
  2. Step 2: Convert to fraction form
    3,404.31/5,106.45 = 939.15/x
  3. Step 3: Cross multiply
    3,404.31x = 5,106.45 × 939.15
  4. Step 4: Simplify right side
    3,404.31x = 4,795,722.52
  5. Step 5: Solve for x
    x = 4,795,722.52/3,404.31
  6. Step 6: Final answer
    x = 1,408.72

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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.