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Finding the Fourth Proportional to 4,226.46, 5,832.49 and 2,363.46

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Solution

The fourth proportional to 4,226.46, 5,832.49 and 2,363.46 is: 3,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.46 : 5,832.49 = 2,363.46 : x
  2. Step 2: Convert to fraction form
    4,226.46/5,832.49 = 2,363.46/x
  3. Step 3: Cross multiply
    4,226.46x = 5,832.49 × 2,363.46
  4. Step 4: Simplify right side
    4,226.46x = 13,784,856.82
  5. Step 5: Solve for x
    x = 13,784,856.82/4,226.46
  6. Step 6: Final answer
    x = 3,261.56

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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.