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Finding the Fourth Proportional to 5,336.37, 7,992.24 and 5,151.84

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Solution

The fourth proportional to 5,336.37, 7,992.24 and 5,151.84 is: 7,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.37 : 7,992.24 = 5,151.84 : x
  2. Step 2: Convert to fraction form
    5,336.37/7,992.24 = 5,151.84/x
  3. Step 3: Cross multiply
    5,336.37x = 7,992.24 × 5,151.84
  4. Step 4: Simplify right side
    5,336.37x = 41,174,741.72
  5. Step 5: Solve for x
    x = 41,174,741.72/5,336.37
  6. Step 6: Final answer
    x = 7,715.87

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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.