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Finding the Fourth Proportional to 3,736.57, 5,156.24 and 2,164.39

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Solution

The fourth proportional to 3,736.57, 5,156.24 and 2,164.39 is: 2,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.57 : 5,156.24 = 2,164.39 : x
  2. Step 2: Convert to fraction form
    3,736.57/5,156.24 = 2,164.39/x
  3. Step 3: Cross multiply
    3,736.57x = 5,156.24 × 2,164.39
  4. Step 4: Simplify right side
    3,736.57x = 11,160,103.47
  5. Step 5: Solve for x
    x = 11,160,103.47/3,736.57
  6. Step 6: Final answer
    x = 2,986.72

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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.