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Finding the Fourth Proportional to 3,367.82, 5,052 and 1,027.62

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Solution

The fourth proportional to 3,367.82, 5,052 and 1,027.62 is: 1,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.82 : 5,052 = 1,027.62 : x
  2. Step 2: Convert to fraction form
    3,367.82/5,052 = 1,027.62/x
  3. Step 3: Cross multiply
    3,367.82x = 5,052 × 1,027.62
  4. Step 4: Simplify right side
    3,367.82x = 5,191,536.24
  5. Step 5: Solve for x
    x = 5,191,536.24/3,367.82
  6. Step 6: Final answer
    x = 1,541.51

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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.