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Finding the Fourth Proportional to 3,223.39, 4,836.18 and 1,274.53

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Solution

The fourth proportional to 3,223.39, 4,836.18 and 1,274.53 is: 1,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.39 : 4,836.18 = 1,274.53 : x
  2. Step 2: Convert to fraction form
    3,223.39/4,836.18 = 1,274.53/x
  3. Step 3: Cross multiply
    3,223.39x = 4,836.18 × 1,274.53
  4. Step 4: Simplify right side
    3,223.39x = 6,163,856.50
  5. Step 5: Solve for x
    x = 6,163,856.50/3,223.39
  6. Step 6: Final answer
    x = 1,912.23

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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.