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Finding the Fourth Proportional to 4,849.92, 6,696 and 2,988

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Solution

The fourth proportional to 4,849.92, 6,696 and 2,988 is: 4,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.92 : 6,696 = 2,988 : x
  2. Step 2: Convert to fraction form
    4,849.92/6,696 = 2,988/x
  3. Step 3: Cross multiply
    4,849.92x = 6,696 × 2,988
  4. Step 4: Simplify right side
    4,849.92x = 20,007,648
  5. Step 5: Solve for x
    x = 20,007,648/4,849.92
  6. Step 6: Final answer
    x = 4,125.36

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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.