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Finding the Fourth Proportional to 3,838.55, 5,759.18 and 2,196.48

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Solution

The fourth proportional to 3,838.55, 5,759.18 and 2,196.48 is: 3,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.55 : 5,759.18 = 2,196.48 : x
  2. Step 2: Convert to fraction form
    3,838.55/5,759.18 = 2,196.48/x
  3. Step 3: Cross multiply
    3,838.55x = 5,759.18 × 2,196.48
  4. Step 4: Simplify right side
    3,838.55x = 12,649,923.69
  5. Step 5: Solve for x
    x = 12,649,923.69/3,838.55
  6. Step 6: Final answer
    x = 3,295.50

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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.