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Finding the Fourth Proportional to 3,976.08, 5,959.08 and 2,245.68

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Solution

The fourth proportional to 3,976.08, 5,959.08 and 2,245.68 is: 3,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.08 : 5,959.08 = 2,245.68 : x
  2. Step 2: Convert to fraction form
    3,976.08/5,959.08 = 2,245.68/x
  3. Step 3: Cross multiply
    3,976.08x = 5,959.08 × 2,245.68
  4. Step 4: Simplify right side
    3,976.08x = 13,382,186.77
  5. Step 5: Solve for x
    x = 13,382,186.77/3,976.08
  6. Step 6: Final answer
    x = 3,365.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.