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Finding the Fourth Proportional to 3,205.39, 4,808.08 and 2,003.62

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Solution

The fourth proportional to 3,205.39, 4,808.08 and 2,003.62 is: 3,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.39 : 4,808.08 = 2,003.62 : x
  2. Step 2: Convert to fraction form
    3,205.39/4,808.08 = 2,003.62/x
  3. Step 3: Cross multiply
    3,205.39x = 4,808.08 × 2,003.62
  4. Step 4: Simplify right side
    3,205.39x = 9,633,541.21
  5. Step 5: Solve for x
    x = 9,633,541.21/3,205.39
  6. Step 6: Final answer
    x = 3,005.42

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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.