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Finding the Fourth Proportional to 3,396.81, 5,096.22 and 1,754.53

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Solution

The fourth proportional to 3,396.81, 5,096.22 and 1,754.53 is: 2,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.81 : 5,096.22 = 1,754.53 : x
  2. Step 2: Convert to fraction form
    3,396.81/5,096.22 = 1,754.53/x
  3. Step 3: Cross multiply
    3,396.81x = 5,096.22 × 1,754.53
  4. Step 4: Simplify right side
    3,396.81x = 8,941,470.88
  5. Step 5: Solve for x
    x = 8,941,470.88/3,396.81
  6. Step 6: Final answer
    x = 2,632.31

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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.