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Finding the Fourth Proportional to 4,221.92, 5,826.14 and 2,333.66

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Solution

The fourth proportional to 4,221.92, 5,826.14 and 2,333.66 is: 3,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.92 : 5,826.14 = 2,333.66 : x
  2. Step 2: Convert to fraction form
    4,221.92/5,826.14 = 2,333.66/x
  3. Step 3: Cross multiply
    4,221.92x = 5,826.14 × 2,333.66
  4. Step 4: Simplify right side
    4,221.92x = 13,596,229.87
  5. Step 5: Solve for x
    x = 13,596,229.87/4,221.92
  6. Step 6: Final answer
    x = 3,220.39

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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.