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Finding the Fourth Proportional to 4,202.69, 5,798.49 and 2,711.48

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Solution

The fourth proportional to 4,202.69, 5,798.49 and 2,711.48 is: 3,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.69 : 5,798.49 = 2,711.48 : x
  2. Step 2: Convert to fraction form
    4,202.69/5,798.49 = 2,711.48/x
  3. Step 3: Cross multiply
    4,202.69x = 5,798.49 × 2,711.48
  4. Step 4: Simplify right side
    4,202.69x = 15,722,450.50
  5. Step 5: Solve for x
    x = 15,722,450.50/4,202.69
  6. Step 6: Final answer
    x = 3,741.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.