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Finding the Fourth Proportional to 3,696.54, 5,099.27 and 2,296.86

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Solution

The fourth proportional to 3,696.54, 5,099.27 and 2,296.86 is: 3,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.54 : 5,099.27 = 2,296.86 : x
  2. Step 2: Convert to fraction form
    3,696.54/5,099.27 = 2,296.86/x
  3. Step 3: Cross multiply
    3,696.54x = 5,099.27 × 2,296.86
  4. Step 4: Simplify right side
    3,696.54x = 11,712,309.29
  5. Step 5: Solve for x
    x = 11,712,309.29/3,696.54
  6. Step 6: Final answer
    x = 3,168.45

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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.