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Finding the Fourth Proportional to 3,425.16, 5,137.16 and 959.41

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Solution

The fourth proportional to 3,425.16, 5,137.16 and 959.41 is: 1,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.16 : 5,137.16 = 959.41 : x
  2. Step 2: Convert to fraction form
    3,425.16/5,137.16 = 959.41/x
  3. Step 3: Cross multiply
    3,425.16x = 5,137.16 × 959.41
  4. Step 4: Simplify right side
    3,425.16x = 4,928,644.30
  5. Step 5: Solve for x
    x = 4,928,644.30/3,425.16
  6. Step 6: Final answer
    x = 1,438.95

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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.