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Finding the Fourth Proportional to 3,214.71, 4,435.11 and 2,377.44

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Solution

The fourth proportional to 3,214.71, 4,435.11 and 2,377.44 is: 3,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.71 : 4,435.11 = 2,377.44 : x
  2. Step 2: Convert to fraction form
    3,214.71/4,435.11 = 2,377.44/x
  3. Step 3: Cross multiply
    3,214.71x = 4,435.11 × 2,377.44
  4. Step 4: Simplify right side
    3,214.71x = 10,544,207.92
  5. Step 5: Solve for x
    x = 10,544,207.92/3,214.71
  6. Step 6: Final answer
    x = 3,279.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.