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Finding the Fourth Proportional to 5,296.39, 7,947.26 and 2,522.54

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Solution

The fourth proportional to 5,296.39, 7,947.26 and 2,522.54 is: 3,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.39 : 7,947.26 = 2,522.54 : x
  2. Step 2: Convert to fraction form
    5,296.39/7,947.26 = 2,522.54/x
  3. Step 3: Cross multiply
    5,296.39x = 7,947.26 × 2,522.54
  4. Step 4: Simplify right side
    5,296.39x = 20,047,312.14
  5. Step 5: Solve for x
    x = 20,047,312.14/5,296.39
  6. Step 6: Final answer
    x = 3,785.09

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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.