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Finding the Fourth Proportional to 3,953.96, 5,932.38 and 2,007.08

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Solution

The fourth proportional to 3,953.96, 5,932.38 and 2,007.08 is: 3,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.96 : 5,932.38 = 2,007.08 : x
  2. Step 2: Convert to fraction form
    3,953.96/5,932.38 = 2,007.08/x
  3. Step 3: Cross multiply
    3,953.96x = 5,932.38 × 2,007.08
  4. Step 4: Simplify right side
    3,953.96x = 11,906,761.25
  5. Step 5: Solve for x
    x = 11,906,761.25/3,953.96
  6. Step 6: Final answer
    x = 3,011.35

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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.