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Finding the Fourth Proportional to 3,437, 4,744.24 and 2,317.22

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Solution

The fourth proportional to 3,437, 4,744.24 and 2,317.22 is: 3,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437 : 4,744.24 = 2,317.22 : x
  2. Step 2: Convert to fraction form
    3,437/4,744.24 = 2,317.22/x
  3. Step 3: Cross multiply
    3,437x = 4,744.24 × 2,317.22
  4. Step 4: Simplify right side
    3,437x = 10,993,447.81
  5. Step 5: Solve for x
    x = 10,993,447.81/3,437
  6. Step 6: Final answer
    x = 3,198.56

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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.