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Finding the Fourth Proportional to 3,833.84, 5,722.77 and 3,289.52

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Solution

The fourth proportional to 3,833.84, 5,722.77 and 3,289.52 is: 4,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.84 : 5,722.77 = 3,289.52 : x
  2. Step 2: Convert to fraction form
    3,833.84/5,722.77 = 3,289.52/x
  3. Step 3: Cross multiply
    3,833.84x = 5,722.77 × 3,289.52
  4. Step 4: Simplify right side
    3,833.84x = 18,825,166.37
  5. Step 5: Solve for x
    x = 18,825,166.37/3,833.84
  6. Step 6: Final answer
    x = 4,910.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.