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Finding the Fourth Proportional to 4,202.94, 5,798.83 and 2,711.73

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Solution

The fourth proportional to 4,202.94, 5,798.83 and 2,711.73 is: 3,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.94 : 5,798.83 = 2,711.73 : x
  2. Step 2: Convert to fraction form
    4,202.94/5,798.83 = 2,711.73/x
  3. Step 3: Cross multiply
    4,202.94x = 5,798.83 × 2,711.73
  4. Step 4: Simplify right side
    4,202.94x = 15,724,832.28
  5. Step 5: Solve for x
    x = 15,724,832.28/4,202.94
  6. Step 6: Final answer
    x = 3,741.39

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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.