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Finding the Fourth Proportional to 3,462.80, 5,194.20 and 1,154.30

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Solution

The fourth proportional to 3,462.80, 5,194.20 and 1,154.30 is: 1,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.80 : 5,194.20 = 1,154.30 : x
  2. Step 2: Convert to fraction form
    3,462.80/5,194.20 = 1,154.30/x
  3. Step 3: Cross multiply
    3,462.80x = 5,194.20 × 1,154.30
  4. Step 4: Simplify right side
    3,462.80x = 5,995,665.06
  5. Step 5: Solve for x
    x = 5,995,665.06/3,462.80
  6. Step 6: Final answer
    x = 1,731.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.