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Finding the Fourth Proportional to 3,954.21, 5,900.61 and 3,429.33

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Solution

The fourth proportional to 3,954.21, 5,900.61 and 3,429.33 is: 5,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.21 : 5,900.61 = 3,429.33 : x
  2. Step 2: Convert to fraction form
    3,954.21/5,900.61 = 3,429.33/x
  3. Step 3: Cross multiply
    3,954.21x = 5,900.61 × 3,429.33
  4. Step 4: Simplify right side
    3,954.21x = 20,235,138.89
  5. Step 5: Solve for x
    x = 20,235,138.89/3,954.21
  6. Step 6: Final answer
    x = 5,117.37

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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.