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Finding the Fourth Proportional to 3,866.52, 5,801.22 and 2,306.28

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Solution

The fourth proportional to 3,866.52, 5,801.22 and 2,306.28 is: 3,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.52 : 5,801.22 = 2,306.28 : x
  2. Step 2: Convert to fraction form
    3,866.52/5,801.22 = 2,306.28/x
  3. Step 3: Cross multiply
    3,866.52x = 5,801.22 × 2,306.28
  4. Step 4: Simplify right side
    3,866.52x = 13,379,237.66
  5. Step 5: Solve for x
    x = 13,379,237.66/3,866.52
  6. Step 6: Final answer
    x = 3,460.28

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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.