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Finding the Fourth Proportional to 3,696.70, 5,101.32 and 2,204.59

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Solution

The fourth proportional to 3,696.70, 5,101.32 and 2,204.59 is: 3,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.70 : 5,101.32 = 2,204.59 : x
  2. Step 2: Convert to fraction form
    3,696.70/5,101.32 = 2,204.59/x
  3. Step 3: Cross multiply
    3,696.70x = 5,101.32 × 2,204.59
  4. Step 4: Simplify right side
    3,696.70x = 11,246,319.06
  5. Step 5: Solve for x
    x = 11,246,319.06/3,696.70
  6. Step 6: Final answer
    x = 3,042.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.