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Finding the Fourth Proportional to 3,158.11, 4,737.84 and 967

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Solution

The fourth proportional to 3,158.11, 4,737.84 and 967 is: 1,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.11 : 4,737.84 = 967 : x
  2. Step 2: Convert to fraction form
    3,158.11/4,737.84 = 967/x
  3. Step 3: Cross multiply
    3,158.11x = 4,737.84 × 967
  4. Step 4: Simplify right side
    3,158.11x = 4,581,491.28
  5. Step 5: Solve for x
    x = 4,581,491.28/3,158.11
  6. Step 6: Final answer
    x = 1,450.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.