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Finding the Fourth Proportional to 5,106.87, 7,046.78 and 2,983.11

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Solution

The fourth proportional to 5,106.87, 7,046.78 and 2,983.11 is: 4,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.87 : 7,046.78 = 2,983.11 : x
  2. Step 2: Convert to fraction form
    5,106.87/7,046.78 = 2,983.11/x
  3. Step 3: Cross multiply
    5,106.87x = 7,046.78 × 2,983.11
  4. Step 4: Simplify right side
    5,106.87x = 21,021,304.97
  5. Step 5: Solve for x
    x = 21,021,304.97/5,106.87
  6. Step 6: Final answer
    x = 4,116.28

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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.