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Finding the Fourth Proportional to 4,221.88, 6,333.16 and 1,447.44

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Solution

The fourth proportional to 4,221.88, 6,333.16 and 1,447.44 is: 2,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.88 : 6,333.16 = 1,447.44 : x
  2. Step 2: Convert to fraction form
    4,221.88/6,333.16 = 1,447.44/x
  3. Step 3: Cross multiply
    4,221.88x = 6,333.16 × 1,447.44
  4. Step 4: Simplify right side
    4,221.88x = 9,166,869.11
  5. Step 5: Solve for x
    x = 9,166,869.11/4,221.88
  6. Step 6: Final answer
    x = 2,171.28

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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.