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Finding the Fourth Proportional to 4,450.39, 6,677.13 and 1,677.86

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Solution

The fourth proportional to 4,450.39, 6,677.13 and 1,677.86 is: 2,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.39 : 6,677.13 = 1,677.86 : x
  2. Step 2: Convert to fraction form
    4,450.39/6,677.13 = 1,677.86/x
  3. Step 3: Cross multiply
    4,450.39x = 6,677.13 × 1,677.86
  4. Step 4: Simplify right side
    4,450.39x = 11,203,254.35
  5. Step 5: Solve for x
    x = 11,203,254.35/4,450.39
  6. Step 6: Final answer
    x = 2,517.37

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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.