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Finding the Fourth Proportional to 5,238.26, 7,856.17 and 1,952.90

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Solution

The fourth proportional to 5,238.26, 7,856.17 and 1,952.90 is: 2,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.26 : 7,856.17 = 1,952.90 : x
  2. Step 2: Convert to fraction form
    5,238.26/7,856.17 = 1,952.90/x
  3. Step 3: Cross multiply
    5,238.26x = 7,856.17 × 1,952.90
  4. Step 4: Simplify right side
    5,238.26x = 15,342,270.23
  5. Step 5: Solve for x
    x = 15,342,270.23/5,238.26
  6. Step 6: Final answer
    x = 2,928.89

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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.