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Finding the Fourth Proportional to 3,412.92, 4,709.70 and 2,086.68

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Solution

The fourth proportional to 3,412.92, 4,709.70 and 2,086.68 is: 2,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.92 : 4,709.70 = 2,086.68 : x
  2. Step 2: Convert to fraction form
    3,412.92/4,709.70 = 2,086.68/x
  3. Step 3: Cross multiply
    3,412.92x = 4,709.70 × 2,086.68
  4. Step 4: Simplify right side
    3,412.92x = 9,827,636.80
  5. Step 5: Solve for x
    x = 9,827,636.80/3,412.92
  6. Step 6: Final answer
    x = 2,879.54

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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.