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Finding the Fourth Proportional to 5,122.40, 7,678.68 and 3,268.28

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Solution

The fourth proportional to 5,122.40, 7,678.68 and 3,268.28 is: 4,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.40 : 7,678.68 = 3,268.28 : x
  2. Step 2: Convert to fraction form
    5,122.40/7,678.68 = 3,268.28/x
  3. Step 3: Cross multiply
    5,122.40x = 7,678.68 × 3,268.28
  4. Step 4: Simplify right side
    5,122.40x = 25,096,076.27
  5. Step 5: Solve for x
    x = 25,096,076.27/5,122.40
  6. Step 6: Final answer
    x = 4,899.28

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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.