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Finding the Fourth Proportional to 4,226.72, 5,832.87 and 2,363.72

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Solution

The fourth proportional to 4,226.72, 5,832.87 and 2,363.72 is: 3,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.72 : 5,832.87 = 2,363.72 : x
  2. Step 2: Convert to fraction form
    4,226.72/5,832.87 = 2,363.72/x
  3. Step 3: Cross multiply
    4,226.72x = 5,832.87 × 2,363.72
  4. Step 4: Simplify right side
    4,226.72x = 13,787,273.05
  5. Step 5: Solve for x
    x = 13,787,273.05/4,226.72
  6. Step 6: Final answer
    x = 3,261.93

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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.