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Finding the Fourth Proportional to 3,380.08, 5,078.64 and 2,148.08

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Solution

The fourth proportional to 3,380.08, 5,078.64 and 2,148.08 is: 3,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.08 : 5,078.64 = 2,148.08 : x
  2. Step 2: Convert to fraction form
    3,380.08/5,078.64 = 2,148.08/x
  3. Step 3: Cross multiply
    3,380.08x = 5,078.64 × 2,148.08
  4. Step 4: Simplify right side
    3,380.08x = 10,909,325.01
  5. Step 5: Solve for x
    x = 10,909,325.01/3,380.08
  6. Step 6: Final answer
    x = 3,227.53

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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.