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Finding the Fourth Proportional to 4,946.38, 6,825.82 and 2,708.22

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Solution

The fourth proportional to 4,946.38, 6,825.82 and 2,708.22 is: 3,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.38 : 6,825.82 = 2,708.22 : x
  2. Step 2: Convert to fraction form
    4,946.38/6,825.82 = 2,708.22/x
  3. Step 3: Cross multiply
    4,946.38x = 6,825.82 × 2,708.22
  4. Step 4: Simplify right side
    4,946.38x = 18,485,822.24
  5. Step 5: Solve for x
    x = 18,485,822.24/4,946.38
  6. Step 6: Final answer
    x = 3,737.24

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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.