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Finding the Fourth Proportional to 5,066, 6,991.08 and 3,205.52

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Solution

The fourth proportional to 5,066, 6,991.08 and 3,205.52 is: 4,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066 : 6,991.08 = 3,205.52 : x
  2. Step 2: Convert to fraction form
    5,066/6,991.08 = 3,205.52/x
  3. Step 3: Cross multiply
    5,066x = 6,991.08 × 3,205.52
  4. Step 4: Simplify right side
    5,066x = 22,410,046.76
  5. Step 5: Solve for x
    x = 22,410,046.76/5,066
  6. Step 6: Final answer
    x = 4,423.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.