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Finding the Fourth Proportional to 5,196.83, 7,171.54 and 2,838.92

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Solution

The fourth proportional to 5,196.83, 7,171.54 and 2,838.92 is: 3,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.83 : 7,171.54 = 2,838.92 : x
  2. Step 2: Convert to fraction form
    5,196.83/7,171.54 = 2,838.92/x
  3. Step 3: Cross multiply
    5,196.83x = 7,171.54 × 2,838.92
  4. Step 4: Simplify right side
    5,196.83x = 20,359,385.38
  5. Step 5: Solve for x
    x = 20,359,385.38/5,196.83
  6. Step 6: Final answer
    x = 3,917.66

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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.