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Finding the Fourth Proportional to 4,494.29, 6,205.82 and 3,305.88

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Solution

The fourth proportional to 4,494.29, 6,205.82 and 3,305.88 is: 4,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.29 : 6,205.82 = 3,305.88 : x
  2. Step 2: Convert to fraction form
    4,494.29/6,205.82 = 3,305.88/x
  3. Step 3: Cross multiply
    4,494.29x = 6,205.82 × 3,305.88
  4. Step 4: Simplify right side
    4,494.29x = 20,515,679.69
  5. Step 5: Solve for x
    x = 20,515,679.69/4,494.29
  6. Step 6: Final answer
    x = 4,564.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.