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Finding the Fourth Proportional to 3,833.64, 5,747.76 and 1,491.84

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Solution

The fourth proportional to 3,833.64, 5,747.76 and 1,491.84 is: 2,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.64 : 5,747.76 = 1,491.84 : x
  2. Step 2: Convert to fraction form
    3,833.64/5,747.76 = 1,491.84/x
  3. Step 3: Cross multiply
    3,833.64x = 5,747.76 × 1,491.84
  4. Step 4: Simplify right side
    3,833.64x = 8,574,738.28
  5. Step 5: Solve for x
    x = 8,574,738.28/3,833.64
  6. Step 6: Final answer
    x = 2,236.71

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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.