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Finding the Fourth Proportional to 4,287.91, 5,914.13 and 3,027.65

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Solution

The fourth proportional to 4,287.91, 5,914.13 and 3,027.65 is: 4,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.91 : 5,914.13 = 3,027.65 : x
  2. Step 2: Convert to fraction form
    4,287.91/5,914.13 = 3,027.65/x
  3. Step 3: Cross multiply
    4,287.91x = 5,914.13 × 3,027.65
  4. Step 4: Simplify right side
    4,287.91x = 17,905,915.69
  5. Step 5: Solve for x
    x = 17,905,915.69/4,287.91
  6. Step 6: Final answer
    x = 4,175.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.