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Finding the Fourth Proportional to 3,477.39, 4,770.22 and 3,289.08

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Solution

The fourth proportional to 3,477.39, 4,770.22 and 3,289.08 is: 4,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.39 : 4,770.22 = 3,289.08 : x
  2. Step 2: Convert to fraction form
    3,477.39/4,770.22 = 3,289.08/x
  3. Step 3: Cross multiply
    3,477.39x = 4,770.22 × 3,289.08
  4. Step 4: Simplify right side
    3,477.39x = 15,689,626.97
  5. Step 5: Solve for x
    x = 15,689,626.97/3,477.39
  6. Step 6: Final answer
    x = 4,511.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.