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Finding the Fourth Proportional to 3,611.12, 5,414.76 and 1,661.63

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Solution

The fourth proportional to 3,611.12, 5,414.76 and 1,661.63 is: 2,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.12 : 5,414.76 = 1,661.63 : x
  2. Step 2: Convert to fraction form
    3,611.12/5,414.76 = 1,661.63/x
  3. Step 3: Cross multiply
    3,611.12x = 5,414.76 × 1,661.63
  4. Step 4: Simplify right side
    3,611.12x = 8,997,300.59
  5. Step 5: Solve for x
    x = 8,997,300.59/3,611.12
  6. Step 6: Final answer
    x = 2,491.56

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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.