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Finding the Fourth Proportional to 7,652.70, 11,454.44 and 3,949.89

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Solution

The fourth proportional to 7,652.70, 11,454.44 and 3,949.89 is: 5,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.70 : 11,454.44 = 3,949.89 : x
  2. Step 2: Convert to fraction form
    7,652.70/11,454.44 = 3,949.89/x
  3. Step 3: Cross multiply
    7,652.70x = 11,454.44 × 3,949.89
  4. Step 4: Simplify right side
    7,652.70x = 45,243,715.31
  5. Step 5: Solve for x
    x = 45,243,715.31/7,652.70
  6. Step 6: Final answer
    x = 5,912.12

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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.