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Finding the Fourth Proportional to 3,209.08, 4,815.16 and 2,388.96

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Solution

The fourth proportional to 3,209.08, 4,815.16 and 2,388.96 is: 3,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.08 : 4,815.16 = 2,388.96 : x
  2. Step 2: Convert to fraction form
    3,209.08/4,815.16 = 2,388.96/x
  3. Step 3: Cross multiply
    3,209.08x = 4,815.16 × 2,388.96
  4. Step 4: Simplify right side
    3,209.08x = 11,503,201.71
  5. Step 5: Solve for x
    x = 11,503,201.71/3,209.08
  6. Step 6: Final answer
    x = 3,584.58

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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.