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Finding the Fourth Proportional to 4,334, 5,982 and 2,472.08

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Solution

The fourth proportional to 4,334, 5,982 and 2,472.08 is: 3,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334 : 5,982 = 2,472.08 : x
  2. Step 2: Convert to fraction form
    4,334/5,982 = 2,472.08/x
  3. Step 3: Cross multiply
    4,334x = 5,982 × 2,472.08
  4. Step 4: Simplify right side
    4,334x = 14,787,982.56
  5. Step 5: Solve for x
    x = 14,787,982.56/4,334
  6. Step 6: Final answer
    x = 3,412.09

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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.