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Finding the Fourth Proportional to 3,377.69, 5,062.89 and 1,431.26

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Solution

The fourth proportional to 3,377.69, 5,062.89 and 1,431.26 is: 2,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.69 : 5,062.89 = 1,431.26 : x
  2. Step 2: Convert to fraction form
    3,377.69/5,062.89 = 1,431.26/x
  3. Step 3: Cross multiply
    3,377.69x = 5,062.89 × 1,431.26
  4. Step 4: Simplify right side
    3,377.69x = 7,246,311.94
  5. Step 5: Solve for x
    x = 7,246,311.94/3,377.69
  6. Step 6: Final answer
    x = 2,145.35

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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.