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Finding the Fourth Proportional to 3,633.41, 5,449.34 and 1,658.48

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Solution

The fourth proportional to 3,633.41, 5,449.34 and 1,658.48 is: 2,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.41 : 5,449.34 = 1,658.48 : x
  2. Step 2: Convert to fraction form
    3,633.41/5,449.34 = 1,658.48/x
  3. Step 3: Cross multiply
    3,633.41x = 5,449.34 × 1,658.48
  4. Step 4: Simplify right side
    3,633.41x = 9,037,621.40
  5. Step 5: Solve for x
    x = 9,037,621.40/3,633.41
  6. Step 6: Final answer
    x = 2,487.37

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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.