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Finding the Fourth Proportional to 5,102.28, 7,648.02 and 2,179.08

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Solution

The fourth proportional to 5,102.28, 7,648.02 and 2,179.08 is: 3,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.28 : 7,648.02 = 2,179.08 : x
  2. Step 2: Convert to fraction form
    5,102.28/7,648.02 = 2,179.08/x
  3. Step 3: Cross multiply
    5,102.28x = 7,648.02 × 2,179.08
  4. Step 4: Simplify right side
    5,102.28x = 16,665,647.42
  5. Step 5: Solve for x
    x = 16,665,647.42/5,102.28
  6. Step 6: Final answer
    x = 3,266.31

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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.