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Finding the Fourth Proportional to 4,719.28, 7,078.20 and 2,638

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Solution

The fourth proportional to 4,719.28, 7,078.20 and 2,638 is: 3,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.28 : 7,078.20 = 2,638 : x
  2. Step 2: Convert to fraction form
    4,719.28/7,078.20 = 2,638/x
  3. Step 3: Cross multiply
    4,719.28x = 7,078.20 × 2,638
  4. Step 4: Simplify right side
    4,719.28x = 18,672,291.60
  5. Step 5: Solve for x
    x = 18,672,291.60/4,719.28
  6. Step 6: Final answer
    x = 3,956.60

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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.