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Finding the Fourth Proportional to 4,278.34, 6,408.99 and 2,813.05

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Solution

The fourth proportional to 4,278.34, 6,408.99 and 2,813.05 is: 4,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.34 : 6,408.99 = 2,813.05 : x
  2. Step 2: Convert to fraction form
    4,278.34/6,408.99 = 2,813.05/x
  3. Step 3: Cross multiply
    4,278.34x = 6,408.99 × 2,813.05
  4. Step 4: Simplify right side
    4,278.34x = 18,028,809.32
  5. Step 5: Solve for x
    x = 18,028,809.32/4,278.34
  6. Step 6: Final answer
    x = 4,213.97

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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.