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Finding the Fourth Proportional to 3,689.46, 5,091.05 and 2,197.17

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Solution

The fourth proportional to 3,689.46, 5,091.05 and 2,197.17 is: 3,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.46 : 5,091.05 = 2,197.17 : x
  2. Step 2: Convert to fraction form
    3,689.46/5,091.05 = 2,197.17/x
  3. Step 3: Cross multiply
    3,689.46x = 5,091.05 × 2,197.17
  4. Step 4: Simplify right side
    3,689.46x = 11,185,891.34
  5. Step 5: Solve for x
    x = 11,185,891.34/3,689.46
  6. Step 6: Final answer
    x = 3,031.85

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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.