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Finding the Fourth Proportional to 3,591, 4,955.76 and 2,193.84

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Solution

The fourth proportional to 3,591, 4,955.76 and 2,193.84 is: 3,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591 : 4,955.76 = 2,193.84 : x
  2. Step 2: Convert to fraction form
    3,591/4,955.76 = 2,193.84/x
  3. Step 3: Cross multiply
    3,591x = 4,955.76 × 2,193.84
  4. Step 4: Simplify right side
    3,591x = 10,872,144.52
  5. Step 5: Solve for x
    x = 10,872,144.52/3,591
  6. Step 6: Final answer
    x = 3,027.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.