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Finding the Fourth Proportional to 3,696.01, 5,101.71 and 2,204.39

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Solution

The fourth proportional to 3,696.01, 5,101.71 and 2,204.39 is: 3,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.01 : 5,101.71 = 2,204.39 : x
  2. Step 2: Convert to fraction form
    3,696.01/5,101.71 = 2,204.39/x
  3. Step 3: Cross multiply
    3,696.01x = 5,101.71 × 2,204.39
  4. Step 4: Simplify right side
    3,696.01x = 11,246,158.51
  5. Step 5: Solve for x
    x = 11,246,158.51/3,696.01
  6. Step 6: Final answer
    x = 3,042.78

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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.