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Finding the Fourth Proportional to 3,932.51, 5,891.24 and 3,800.63

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Solution

The fourth proportional to 3,932.51, 5,891.24 and 3,800.63 is: 5,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.51 : 5,891.24 = 3,800.63 : x
  2. Step 2: Convert to fraction form
    3,932.51/5,891.24 = 3,800.63/x
  3. Step 3: Cross multiply
    3,932.51x = 5,891.24 × 3,800.63
  4. Step 4: Simplify right side
    3,932.51x = 22,390,375.02
  5. Step 5: Solve for x
    x = 22,390,375.02/3,932.51
  6. Step 6: Final answer
    x = 5,693.67

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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.