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Finding the Fourth Proportional to 3,713, 5,123.94 and 2,057

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Solution

The fourth proportional to 3,713, 5,123.94 and 2,057 is: 2,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713 : 5,123.94 = 2,057 : x
  2. Step 2: Convert to fraction form
    3,713/5,123.94 = 2,057/x
  3. Step 3: Cross multiply
    3,713x = 5,123.94 × 2,057
  4. Step 4: Simplify right side
    3,713x = 10,539,944.58
  5. Step 5: Solve for x
    x = 10,539,944.58/3,713
  6. Step 6: Final answer
    x = 2,838.66

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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.