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Finding the Fourth Proportional to 3,720.73, 5,583.50 and 1,614.41

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Solution

The fourth proportional to 3,720.73, 5,583.50 and 1,614.41 is: 2,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.73 : 5,583.50 = 1,614.41 : x
  2. Step 2: Convert to fraction form
    3,720.73/5,583.50 = 1,614.41/x
  3. Step 3: Cross multiply
    3,720.73x = 5,583.50 × 1,614.41
  4. Step 4: Simplify right side
    3,720.73x = 9,014,058.24
  5. Step 5: Solve for x
    x = 9,014,058.24/3,720.73
  6. Step 6: Final answer
    x = 2,422.66

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Why These Related Problems?

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