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Finding the Fourth Proportional to 3,412.83, 4,709.13 and 2,086.97

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Solution

The fourth proportional to 3,412.83, 4,709.13 and 2,086.97 is: 2,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.83 : 4,709.13 = 2,086.97 : x
  2. Step 2: Convert to fraction form
    3,412.83/4,709.13 = 2,086.97/x
  3. Step 3: Cross multiply
    3,412.83x = 4,709.13 × 2,086.97
  4. Step 4: Simplify right side
    3,412.83x = 9,827,789.49
  5. Step 5: Solve for x
    x = 9,827,789.49/3,412.83
  6. Step 6: Final answer
    x = 2,879.66

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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.