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Finding the Fourth Proportional to 3,696.38, 5,100.92 and 2,124.44

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Solution

The fourth proportional to 3,696.38, 5,100.92 and 2,124.44 is: 2,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.38 : 5,100.92 = 2,124.44 : x
  2. Step 2: Convert to fraction form
    3,696.38/5,100.92 = 2,124.44/x
  3. Step 3: Cross multiply
    3,696.38x = 5,100.92 × 2,124.44
  4. Step 4: Simplify right side
    3,696.38x = 10,836,598.48
  5. Step 5: Solve for x
    x = 10,836,598.48/3,696.38
  6. Step 6: Final answer
    x = 2,931.68

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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.