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Finding the Fourth Proportional to 4,221.70, 6,334.35 and 2,029.30

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Solution

The fourth proportional to 4,221.70, 6,334.35 and 2,029.30 is: 3,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.70 : 6,334.35 = 2,029.30 : x
  2. Step 2: Convert to fraction form
    4,221.70/6,334.35 = 2,029.30/x
  3. Step 3: Cross multiply
    4,221.70x = 6,334.35 × 2,029.30
  4. Step 4: Simplify right side
    4,221.70x = 12,854,296.46
  5. Step 5: Solve for x
    x = 12,854,296.46/4,221.70
  6. Step 6: Final answer
    x = 3,044.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.