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Finding the Fourth Proportional to 3,822.48, 5,733 and 1,357.34

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Solution

The fourth proportional to 3,822.48, 5,733 and 1,357.34 is: 2,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.48 : 5,733 = 1,357.34 : x
  2. Step 2: Convert to fraction form
    3,822.48/5,733 = 1,357.34/x
  3. Step 3: Cross multiply
    3,822.48x = 5,733 × 1,357.34
  4. Step 4: Simplify right side
    3,822.48x = 7,781,601.56
  5. Step 5: Solve for x
    x = 7,781,601.56/3,822.48
  6. Step 6: Final answer
    x = 2,035.75

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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.