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Finding the Fourth Proportional to 3,158.92, 4,737.97 and 1,311.72

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Solution

The fourth proportional to 3,158.92, 4,737.97 and 1,311.72 is: 1,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.92 : 4,737.97 = 1,311.72 : x
  2. Step 2: Convert to fraction form
    3,158.92/4,737.97 = 1,311.72/x
  3. Step 3: Cross multiply
    3,158.92x = 4,737.97 × 1,311.72
  4. Step 4: Simplify right side
    3,158.92x = 6,214,890.01
  5. Step 5: Solve for x
    x = 6,214,890.01/3,158.92
  6. Step 6: Final answer
    x = 1,967.41

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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.