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Finding the Fourth Proportional to 3,712.96, 5,123.96 and 2,034.43

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Solution

The fourth proportional to 3,712.96, 5,123.96 and 2,034.43 is: 2,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.96 : 5,123.96 = 2,034.43 : x
  2. Step 2: Convert to fraction form
    3,712.96/5,123.96 = 2,034.43/x
  3. Step 3: Cross multiply
    3,712.96x = 5,123.96 × 2,034.43
  4. Step 4: Simplify right side
    3,712.96x = 10,424,337.94
  5. Step 5: Solve for x
    x = 10,424,337.94/3,712.96
  6. Step 6: Final answer
    x = 2,807.55

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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.