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Finding the Fourth Proportional to 5,965, 8,947.48 and 3,367.92

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Solution

The fourth proportional to 5,965, 8,947.48 and 3,367.92 is: 5,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965 : 8,947.48 = 3,367.92 : x
  2. Step 2: Convert to fraction form
    5,965/8,947.48 = 3,367.92/x
  3. Step 3: Cross multiply
    5,965x = 8,947.48 × 3,367.92
  4. Step 4: Simplify right side
    5,965x = 30,134,396.84
  5. Step 5: Solve for x
    x = 30,134,396.84/5,965
  6. Step 6: Final answer
    x = 5,051.87

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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.