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Finding the Fourth Proportional to 3,954.46, 5,900.98 and 3,429.58

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Solution

The fourth proportional to 3,954.46, 5,900.98 and 3,429.58 is: 5,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.46 : 5,900.98 = 3,429.58 : x
  2. Step 2: Convert to fraction form
    3,954.46/5,900.98 = 3,429.58/x
  3. Step 3: Cross multiply
    3,954.46x = 5,900.98 × 3,429.58
  4. Step 4: Simplify right side
    3,954.46x = 20,237,882.99
  5. Step 5: Solve for x
    x = 20,237,882.99/3,954.46
  6. Step 6: Final answer
    x = 5,117.74

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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.