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Finding the Fourth Proportional to 3,461.20, 5,165.04 and 3,092

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Solution

The fourth proportional to 3,461.20, 5,165.04 and 3,092 is: 4,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.20 : 5,165.04 = 3,092 : x
  2. Step 2: Convert to fraction form
    3,461.20/5,165.04 = 3,092/x
  3. Step 3: Cross multiply
    3,461.20x = 5,165.04 × 3,092
  4. Step 4: Simplify right side
    3,461.20x = 15,970,303.68
  5. Step 5: Solve for x
    x = 15,970,303.68/3,461.20
  6. Step 6: Final answer
    x = 4,614.09

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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.