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Finding the Fourth Proportional to 5,244.40, 7,861.56 and 1,956.16

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Solution

The fourth proportional to 5,244.40, 7,861.56 and 1,956.16 is: 2,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.40 : 7,861.56 = 1,956.16 : x
  2. Step 2: Convert to fraction form
    5,244.40/7,861.56 = 1,956.16/x
  3. Step 3: Cross multiply
    5,244.40x = 7,861.56 × 1,956.16
  4. Step 4: Simplify right side
    5,244.40x = 15,378,469.21
  5. Step 5: Solve for x
    x = 15,378,469.21/5,244.40
  6. Step 6: Final answer
    x = 2,932.36

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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.