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Finding the Fourth Proportional to 4,226.43, 5,832.51 and 2,363.43

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Solution

The fourth proportional to 4,226.43, 5,832.51 and 2,363.43 is: 3,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.43 : 5,832.51 = 2,363.43 : x
  2. Step 2: Convert to fraction form
    4,226.43/5,832.51 = 2,363.43/x
  3. Step 3: Cross multiply
    4,226.43x = 5,832.51 × 2,363.43
  4. Step 4: Simplify right side
    4,226.43x = 13,784,729.11
  5. Step 5: Solve for x
    x = 13,784,729.11/4,226.43
  6. Step 6: Final answer
    x = 3,261.55

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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.