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Finding the Fourth Proportional to 4,589.28, 6,892 and 3,419.60

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Solution

The fourth proportional to 4,589.28, 6,892 and 3,419.60 is: 5,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.28 : 6,892 = 3,419.60 : x
  2. Step 2: Convert to fraction form
    4,589.28/6,892 = 3,419.60/x
  3. Step 3: Cross multiply
    4,589.28x = 6,892 × 3,419.60
  4. Step 4: Simplify right side
    4,589.28x = 23,567,883.20
  5. Step 5: Solve for x
    x = 23,567,883.20/4,589.28
  6. Step 6: Final answer
    x = 5,135.42

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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.