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Finding the Fourth Proportional to 4,955.92, 6,839.38 and 2,966.09

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Solution

The fourth proportional to 4,955.92, 6,839.38 and 2,966.09 is: 4,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.92 : 6,839.38 = 2,966.09 : x
  2. Step 2: Convert to fraction form
    4,955.92/6,839.38 = 2,966.09/x
  3. Step 3: Cross multiply
    4,955.92x = 6,839.38 × 2,966.09
  4. Step 4: Simplify right side
    4,955.92x = 20,286,216.62
  5. Step 5: Solve for x
    x = 20,286,216.62/4,955.92
  6. Step 6: Final answer
    x = 4,093.33

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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.