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Finding the Fourth Proportional to 5,197.53, 7,796.34 and 1,301.94

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Solution

The fourth proportional to 5,197.53, 7,796.34 and 1,301.94 is: 1,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.53 : 7,796.34 = 1,301.94 : x
  2. Step 2: Convert to fraction form
    5,197.53/7,796.34 = 1,301.94/x
  3. Step 3: Cross multiply
    5,197.53x = 7,796.34 × 1,301.94
  4. Step 4: Simplify right side
    5,197.53x = 10,150,366.90
  5. Step 5: Solve for x
    x = 10,150,366.90/5,197.53
  6. Step 6: Final answer
    x = 1,952.92

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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.