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Finding the Fourth Proportional to 3,866.83, 5,795.49 and 1,524.48

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Solution

The fourth proportional to 3,866.83, 5,795.49 and 1,524.48 is: 2,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.83 : 5,795.49 = 1,524.48 : x
  2. Step 2: Convert to fraction form
    3,866.83/5,795.49 = 1,524.48/x
  3. Step 3: Cross multiply
    3,866.83x = 5,795.49 × 1,524.48
  4. Step 4: Simplify right side
    3,866.83x = 8,835,100.97
  5. Step 5: Solve for x
    x = 8,835,100.97/3,866.83
  6. Step 6: Final answer
    x = 2,284.85

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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.