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Finding the Fourth Proportional to 3,689.57, 5,091.35 and 2,197.59

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Solution

The fourth proportional to 3,689.57, 5,091.35 and 2,197.59 is: 3,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.57 : 5,091.35 = 2,197.59 : x
  2. Step 2: Convert to fraction form
    3,689.57/5,091.35 = 2,197.59/x
  3. Step 3: Cross multiply
    3,689.57x = 5,091.35 × 2,197.59
  4. Step 4: Simplify right side
    3,689.57x = 11,188,688.86
  5. Step 5: Solve for x
    x = 11,188,688.86/3,689.57
  6. Step 6: Final answer
    x = 3,032.52

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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.