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Finding the Fourth Proportional to 5,493, 8,232 and 2,529.72

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Solution

The fourth proportional to 5,493, 8,232 and 2,529.72 is: 3,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493 : 8,232 = 2,529.72 : x
  2. Step 2: Convert to fraction form
    5,493/8,232 = 2,529.72/x
  3. Step 3: Cross multiply
    5,493x = 8,232 × 2,529.72
  4. Step 4: Simplify right side
    5,493x = 20,824,655.04
  5. Step 5: Solve for x
    x = 20,824,655.04/5,493
  6. Step 6: Final answer
    x = 3,791.13

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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.