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Finding the Fourth Proportional to 4,277.70, 6,404.97 and 2,221.38

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Solution

The fourth proportional to 4,277.70, 6,404.97 and 2,221.38 is: 3,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.70 : 6,404.97 = 2,221.38 : x
  2. Step 2: Convert to fraction form
    4,277.70/6,404.97 = 2,221.38/x
  3. Step 3: Cross multiply
    4,277.70x = 6,404.97 × 2,221.38
  4. Step 4: Simplify right side
    4,277.70x = 14,227,872.26
  5. Step 5: Solve for x
    x = 14,227,872.26/4,277.70
  6. Step 6: Final answer
    x = 3,326.06

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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.