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Finding the Fourth Proportional to 3,958.58, 5,932.40 and 3,840.32

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Solution

The fourth proportional to 3,958.58, 5,932.40 and 3,840.32 is: 5,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.58 : 5,932.40 = 3,840.32 : x
  2. Step 2: Convert to fraction form
    3,958.58/5,932.40 = 3,840.32/x
  3. Step 3: Cross multiply
    3,958.58x = 5,932.40 × 3,840.32
  4. Step 4: Simplify right side
    3,958.58x = 22,782,265.50
  5. Step 5: Solve for x
    x = 22,782,265.50/3,958.58
  6. Step 6: Final answer
    x = 5,755.17

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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.