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Finding the Fourth Proportional to 3,223.02, 4,833.30 and 1,375

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Solution

The fourth proportional to 3,223.02, 4,833.30 and 1,375 is: 2,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.02 : 4,833.30 = 1,375 : x
  2. Step 2: Convert to fraction form
    3,223.02/4,833.30 = 1,375/x
  3. Step 3: Cross multiply
    3,223.02x = 4,833.30 × 1,375
  4. Step 4: Simplify right side
    3,223.02x = 6,645,787.50
  5. Step 5: Solve for x
    x = 6,645,787.50/3,223.02
  6. Step 6: Final answer
    x = 2,061.98

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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.