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Finding the Fourth Proportional to 3,409.30, 5,115.15 and 3,289.30

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Solution

The fourth proportional to 3,409.30, 5,115.15 and 3,289.30 is: 4,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.30 : 5,115.15 = 3,289.30 : x
  2. Step 2: Convert to fraction form
    3,409.30/5,115.15 = 3,289.30/x
  3. Step 3: Cross multiply
    3,409.30x = 5,115.15 × 3,289.30
  4. Step 4: Simplify right side
    3,409.30x = 16,825,262.90
  5. Step 5: Solve for x
    x = 16,825,262.90/3,409.30
  6. Step 6: Final answer
    x = 4,935.11

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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.