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Finding the Fourth Proportional to 3,224.72, 4,839.51 and 1,494.56

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Solution

The fourth proportional to 3,224.72, 4,839.51 and 1,494.56 is: 2,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.72 : 4,839.51 = 1,494.56 : x
  2. Step 2: Convert to fraction form
    3,224.72/4,839.51 = 1,494.56/x
  3. Step 3: Cross multiply
    3,224.72x = 4,839.51 × 1,494.56
  4. Step 4: Simplify right side
    3,224.72x = 7,232,938.07
  5. Step 5: Solve for x
    x = 7,232,938.07/3,224.72
  6. Step 6: Final answer
    x = 2,242.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.