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Finding the Fourth Proportional to 4,840.92, 7,270.01 and 3,965.09

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Solution

The fourth proportional to 4,840.92, 7,270.01 and 3,965.09 is: 5,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.92 : 7,270.01 = 3,965.09 : x
  2. Step 2: Convert to fraction form
    4,840.92/7,270.01 = 3,965.09/x
  3. Step 3: Cross multiply
    4,840.92x = 7,270.01 × 3,965.09
  4. Step 4: Simplify right side
    4,840.92x = 28,826,187.78
  5. Step 5: Solve for x
    x = 28,826,187.78/4,840.92
  6. Step 6: Final answer
    x = 5,954.69

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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.