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Finding the Fourth Proportional to 3,221.76, 4,821.66 and 2,702.34

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Solution

The fourth proportional to 3,221.76, 4,821.66 and 2,702.34 is: 4,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.76 : 4,821.66 = 2,702.34 : x
  2. Step 2: Convert to fraction form
    3,221.76/4,821.66 = 2,702.34/x
  3. Step 3: Cross multiply
    3,221.76x = 4,821.66 × 2,702.34
  4. Step 4: Simplify right side
    3,221.76x = 13,029,764.68
  5. Step 5: Solve for x
    x = 13,029,764.68/3,221.76
  6. Step 6: Final answer
    x = 4,044.30

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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.