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Finding the Fourth Proportional to 3,461.57, 5,165.87 and 3,092.21

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Solution

The fourth proportional to 3,461.57, 5,165.87 and 3,092.21 is: 4,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.57 : 5,165.87 = 3,092.21 : x
  2. Step 2: Convert to fraction form
    3,461.57/5,165.87 = 3,092.21/x
  3. Step 3: Cross multiply
    3,461.57x = 5,165.87 × 3,092.21
  4. Step 4: Simplify right side
    3,461.57x = 15,973,960.06
  5. Step 5: Solve for x
    x = 15,973,960.06/3,461.57
  6. Step 6: Final answer
    x = 4,614.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.