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Finding the Fourth Proportional to 4,226.76, 5,832.54 and 2,433.78

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Solution

The fourth proportional to 4,226.76, 5,832.54 and 2,433.78 is: 3,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.76 : 5,832.54 = 2,433.78 : x
  2. Step 2: Convert to fraction form
    4,226.76/5,832.54 = 2,433.78/x
  3. Step 3: Cross multiply
    4,226.76x = 5,832.54 × 2,433.78
  4. Step 4: Simplify right side
    4,226.76x = 14,195,119.20
  5. Step 5: Solve for x
    x = 14,195,119.20/4,226.76
  6. Step 6: Final answer
    x = 3,358.39

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Why These Related Problems?

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