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Finding the Fourth Proportional to 3,944.34, 5,916.84 and 1,311.30

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Solution

The fourth proportional to 3,944.34, 5,916.84 and 1,311.30 is: 1,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.34 : 5,916.84 = 1,311.30 : x
  2. Step 2: Convert to fraction form
    3,944.34/5,916.84 = 1,311.30/x
  3. Step 3: Cross multiply
    3,944.34x = 5,916.84 × 1,311.30
  4. Step 4: Simplify right side
    3,944.34x = 7,758,752.29
  5. Step 5: Solve for x
    x = 7,758,752.29/3,944.34
  6. Step 6: Final answer
    x = 1,967.06

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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.