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Finding the Fourth Proportional to 3,695.57, 5,099.87 and 2,102.23

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Solution

The fourth proportional to 3,695.57, 5,099.87 and 2,102.23 is: 2,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.57 : 5,099.87 = 2,102.23 : x
  2. Step 2: Convert to fraction form
    3,695.57/5,099.87 = 2,102.23/x
  3. Step 3: Cross multiply
    3,695.57x = 5,099.87 × 2,102.23
  4. Step 4: Simplify right side
    3,695.57x = 10,721,092.22
  5. Step 5: Solve for x
    x = 10,721,092.22/3,695.57
  6. Step 6: Final answer
    x = 2,901.06

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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.