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Finding the Fourth Proportional to 3,627.78, 5,006.79 and 2,056.38

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Solution

The fourth proportional to 3,627.78, 5,006.79 and 2,056.38 is: 2,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.78 : 5,006.79 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    3,627.78/5,006.79 = 2,056.38/x
  3. Step 3: Cross multiply
    3,627.78x = 5,006.79 × 2,056.38
  4. Step 4: Simplify right side
    3,627.78x = 10,295,862.82
  5. Step 5: Solve for x
    x = 10,295,862.82/3,627.78
  6. Step 6: Final answer
    x = 2,838.06

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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.