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Finding the Fourth Proportional to 3,704.14, 5,532.56 and 3,352.21

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Solution

The fourth proportional to 3,704.14, 5,532.56 and 3,352.21 is: 5,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.14 : 5,532.56 = 3,352.21 : x
  2. Step 2: Convert to fraction form
    3,704.14/5,532.56 = 3,352.21/x
  3. Step 3: Cross multiply
    3,704.14x = 5,532.56 × 3,352.21
  4. Step 4: Simplify right side
    3,704.14x = 18,546,284.94
  5. Step 5: Solve for x
    x = 18,546,284.94/3,704.14
  6. Step 6: Final answer
    x = 5,006.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.