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Finding the Fourth Proportional to 5,367, 8,045.46 and 1,902.36

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Solution

The fourth proportional to 5,367, 8,045.46 and 1,902.36 is: 2,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 8,045.46 = 1,902.36 : x
  2. Step 2: Convert to fraction form
    5,367/8,045.46 = 1,902.36/x
  3. Step 3: Cross multiply
    5,367x = 8,045.46 × 1,902.36
  4. Step 4: Simplify right side
    5,367x = 15,305,361.29
  5. Step 5: Solve for x
    x = 15,305,361.29/5,367
  6. Step 6: Final answer
    x = 2,851.75

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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.