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Finding the Fourth Proportional to 5,196.38, 7,170.90 and 2,838.52

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Solution

The fourth proportional to 5,196.38, 7,170.90 and 2,838.52 is: 3,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.38 : 7,170.90 = 2,838.52 : x
  2. Step 2: Convert to fraction form
    5,196.38/7,170.90 = 2,838.52/x
  3. Step 3: Cross multiply
    5,196.38x = 7,170.90 × 2,838.52
  4. Step 4: Simplify right side
    5,196.38x = 20,354,743.07
  5. Step 5: Solve for x
    x = 20,354,743.07/5,196.38
  6. Step 6: Final answer
    x = 3,917.10

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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.