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Finding the Fourth Proportional to 3,689.50, 5,091.53 and 2,197.48

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Solution

The fourth proportional to 3,689.50, 5,091.53 and 2,197.48 is: 3,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.50 : 5,091.53 = 2,197.48 : x
  2. Step 2: Convert to fraction form
    3,689.50/5,091.53 = 2,197.48/x
  3. Step 3: Cross multiply
    3,689.50x = 5,091.53 × 2,197.48
  4. Step 4: Simplify right side
    3,689.50x = 11,188,528.11
  5. Step 5: Solve for x
    x = 11,188,528.11/3,689.50
  6. Step 6: Final answer
    x = 3,032.53

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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.