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Finding the Fourth Proportional to 3,911.28, 5,861.20 and 2,970.20

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Solution

The fourth proportional to 3,911.28, 5,861.20 and 2,970.20 is: 4,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.28 : 5,861.20 = 2,970.20 : x
  2. Step 2: Convert to fraction form
    3,911.28/5,861.20 = 2,970.20/x
  3. Step 3: Cross multiply
    3,911.28x = 5,861.20 × 2,970.20
  4. Step 4: Simplify right side
    3,911.28x = 17,408,936.24
  5. Step 5: Solve for x
    x = 17,408,936.24/3,911.28
  6. Step 6: Final answer
    x = 4,450.96

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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.