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Finding the Fourth Proportional to 5,309.46, 7,964.46 and 2,021.94

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Solution

The fourth proportional to 5,309.46, 7,964.46 and 2,021.94 is: 3,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.46 : 7,964.46 = 2,021.94 : x
  2. Step 2: Convert to fraction form
    5,309.46/7,964.46 = 2,021.94/x
  3. Step 3: Cross multiply
    5,309.46x = 7,964.46 × 2,021.94
  4. Step 4: Simplify right side
    5,309.46x = 16,103,660.25
  5. Step 5: Solve for x
    x = 16,103,660.25/5,309.46
  6. Step 6: Final answer
    x = 3,033.01

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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.