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Finding the Fourth Proportional to 3,933.66, 5,896.02 and 2,056.66

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Solution

The fourth proportional to 3,933.66, 5,896.02 and 2,056.66 is: 3,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.66 : 5,896.02 = 2,056.66 : x
  2. Step 2: Convert to fraction form
    3,933.66/5,896.02 = 2,056.66/x
  3. Step 3: Cross multiply
    3,933.66x = 5,896.02 × 2,056.66
  4. Step 4: Simplify right side
    3,933.66x = 12,126,093.75
  5. Step 5: Solve for x
    x = 12,126,093.75/3,933.66
  6. Step 6: Final answer
    x = 3,082.65

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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.