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Finding the Fourth Proportional to 4,180.86, 5,769.83 and 2,388.87

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Solution

The fourth proportional to 4,180.86, 5,769.83 and 2,388.87 is: 3,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.86 : 5,769.83 = 2,388.87 : x
  2. Step 2: Convert to fraction form
    4,180.86/5,769.83 = 2,388.87/x
  3. Step 3: Cross multiply
    4,180.86x = 5,769.83 × 2,388.87
  4. Step 4: Simplify right side
    4,180.86x = 13,783,373.79
  5. Step 5: Solve for x
    x = 13,783,373.79/4,180.86
  6. Step 6: Final answer
    x = 3,296.78

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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.