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Finding the Fourth Proportional to 4,842.70, 6,684 and 3,073.97

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Solution

The fourth proportional to 4,842.70, 6,684 and 3,073.97 is: 4,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.70 : 6,684 = 3,073.97 : x
  2. Step 2: Convert to fraction form
    4,842.70/6,684 = 3,073.97/x
  3. Step 3: Cross multiply
    4,842.70x = 6,684 × 3,073.97
  4. Step 4: Simplify right side
    4,842.70x = 20,546,415.48
  5. Step 5: Solve for x
    x = 20,546,415.48/4,842.70
  6. Step 6: Final answer
    x = 4,242.76

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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.