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Finding the Fourth Proportional to 3,900.32, 5,382.79 and 2,221.36

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Solution

The fourth proportional to 3,900.32, 5,382.79 and 2,221.36 is: 3,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.32 : 5,382.79 = 2,221.36 : x
  2. Step 2: Convert to fraction form
    3,900.32/5,382.79 = 2,221.36/x
  3. Step 3: Cross multiply
    3,900.32x = 5,382.79 × 2,221.36
  4. Step 4: Simplify right side
    3,900.32x = 11,957,095.38
  5. Step 5: Solve for x
    x = 11,957,095.38/3,900.32
  6. Step 6: Final answer
    x = 3,065.67

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Why These Related Problems?

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