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Finding the Fourth Proportional to 3,212.67, 4,803.17 and 2,724.53

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Solution

The fourth proportional to 3,212.67, 4,803.17 and 2,724.53 is: 4,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.67 : 4,803.17 = 2,724.53 : x
  2. Step 2: Convert to fraction form
    3,212.67/4,803.17 = 2,724.53/x
  3. Step 3: Cross multiply
    3,212.67x = 4,803.17 × 2,724.53
  4. Step 4: Simplify right side
    3,212.67x = 13,086,343.12
  5. Step 5: Solve for x
    x = 13,086,343.12/3,212.67
  6. Step 6: Final answer
    x = 4,073.35

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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.