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Finding the Fourth Proportional to 4,644.91, 6,965.24 and 2,011.19

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Solution

The fourth proportional to 4,644.91, 6,965.24 and 2,011.19 is: 3,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.91 : 6,965.24 = 2,011.19 : x
  2. Step 2: Convert to fraction form
    4,644.91/6,965.24 = 2,011.19/x
  3. Step 3: Cross multiply
    4,644.91x = 6,965.24 × 2,011.19
  4. Step 4: Simplify right side
    4,644.91x = 14,008,428.39
  5. Step 5: Solve for x
    x = 14,008,428.39/4,644.91
  6. Step 6: Final answer
    x = 3,015.87

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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.