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Finding the Fourth Proportional to 5,361.72, 8,045.46 and 2,283

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Solution

The fourth proportional to 5,361.72, 8,045.46 and 2,283 is: 3,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.72 : 8,045.46 = 2,283 : x
  2. Step 2: Convert to fraction form
    5,361.72/8,045.46 = 2,283/x
  3. Step 3: Cross multiply
    5,361.72x = 8,045.46 × 2,283
  4. Step 4: Simplify right side
    5,361.72x = 18,367,785.18
  5. Step 5: Solve for x
    x = 18,367,785.18/5,361.72
  6. Step 6: Final answer
    x = 3,425.73

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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.