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Finding the Fourth Proportional to 3,789.86, 5,230.04 and 2,111.34

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Solution

The fourth proportional to 3,789.86, 5,230.04 and 2,111.34 is: 2,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.86 : 5,230.04 = 2,111.34 : x
  2. Step 2: Convert to fraction form
    3,789.86/5,230.04 = 2,111.34/x
  3. Step 3: Cross multiply
    3,789.86x = 5,230.04 × 2,111.34
  4. Step 4: Simplify right side
    3,789.86x = 11,042,382.10
  5. Step 5: Solve for x
    x = 11,042,382.10/3,789.86
  6. Step 6: Final answer
    x = 2,913.67

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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.