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Finding the Fourth Proportional to 3,696.64, 5,101.29 and 2,103.25

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Solution

The fourth proportional to 3,696.64, 5,101.29 and 2,103.25 is: 2,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.64 : 5,101.29 = 2,103.25 : x
  2. Step 2: Convert to fraction form
    3,696.64/5,101.29 = 2,103.25/x
  3. Step 3: Cross multiply
    3,696.64x = 5,101.29 × 2,103.25
  4. Step 4: Simplify right side
    3,696.64x = 10,729,299.36
  5. Step 5: Solve for x
    x = 10,729,299.36/3,696.64
  6. Step 6: Final answer
    x = 2,902.45

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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.