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Finding the Fourth Proportional to 3,696.96, 5,101.20 and 2,301.60

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Solution

The fourth proportional to 3,696.96, 5,101.20 and 2,301.60 is: 3,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.96 : 5,101.20 = 2,301.60 : x
  2. Step 2: Convert to fraction form
    3,696.96/5,101.20 = 2,301.60/x
  3. Step 3: Cross multiply
    3,696.96x = 5,101.20 × 2,301.60
  4. Step 4: Simplify right side
    3,696.96x = 11,740,921.92
  5. Step 5: Solve for x
    x = 11,740,921.92/3,696.96
  6. Step 6: Final answer
    x = 3,175.83

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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.