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Finding the Fourth Proportional to 3,540.44, 5,310.66 and 1,461.62

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Solution

The fourth proportional to 3,540.44, 5,310.66 and 1,461.62 is: 2,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.44 : 5,310.66 = 1,461.62 : x
  2. Step 2: Convert to fraction form
    3,540.44/5,310.66 = 1,461.62/x
  3. Step 3: Cross multiply
    3,540.44x = 5,310.66 × 1,461.62
  4. Step 4: Simplify right side
    3,540.44x = 7,762,166.87
  5. Step 5: Solve for x
    x = 7,762,166.87/3,540.44
  6. Step 6: Final answer
    x = 2,192.43

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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.