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Finding the Fourth Proportional to 3,314.82, 4,972.32 and 2,007.48

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Solution

The fourth proportional to 3,314.82, 4,972.32 and 2,007.48 is: 3,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.82 : 4,972.32 = 2,007.48 : x
  2. Step 2: Convert to fraction form
    3,314.82/4,972.32 = 2,007.48/x
  3. Step 3: Cross multiply
    3,314.82x = 4,972.32 × 2,007.48
  4. Step 4: Simplify right side
    3,314.82x = 9,981,832.95
  5. Step 5: Solve for x
    x = 9,981,832.95/3,314.82
  6. Step 6: Final answer
    x = 3,011.27

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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.