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Finding the Fourth Proportional to 3,627.97, 5,006.25 and 2,056.06

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Solution

The fourth proportional to 3,627.97, 5,006.25 and 2,056.06 is: 2,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.97 : 5,006.25 = 2,056.06 : x
  2. Step 2: Convert to fraction form
    3,627.97/5,006.25 = 2,056.06/x
  3. Step 3: Cross multiply
    3,627.97x = 5,006.25 × 2,056.06
  4. Step 4: Simplify right side
    3,627.97x = 10,293,150.38
  5. Step 5: Solve for x
    x = 10,293,150.38/3,627.97
  6. Step 6: Final answer
    x = 2,837.17

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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.