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Finding the Fourth Proportional to 4,976.82, 6,868.07 and 2,852.43

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Solution

The fourth proportional to 4,976.82, 6,868.07 and 2,852.43 is: 3,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.82 : 6,868.07 = 2,852.43 : x
  2. Step 2: Convert to fraction form
    4,976.82/6,868.07 = 2,852.43/x
  3. Step 3: Cross multiply
    4,976.82x = 6,868.07 × 2,852.43
  4. Step 4: Simplify right side
    4,976.82x = 19,590,688.91
  5. Step 5: Solve for x
    x = 19,590,688.91/4,976.82
  6. Step 6: Final answer
    x = 3,936.39

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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.