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Finding the Fourth Proportional to 4,741.92, 7,115.22 and 3,364.11

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Solution

The fourth proportional to 4,741.92, 7,115.22 and 3,364.11 is: 5,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.92 : 7,115.22 = 3,364.11 : x
  2. Step 2: Convert to fraction form
    4,741.92/7,115.22 = 3,364.11/x
  3. Step 3: Cross multiply
    4,741.92x = 7,115.22 × 3,364.11
  4. Step 4: Simplify right side
    4,741.92x = 23,936,382.75
  5. Step 5: Solve for x
    x = 23,936,382.75/4,741.92
  6. Step 6: Final answer
    x = 5,047.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.