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Finding the Fourth Proportional to 3,236.24, 4,465.86 and 1,839.44

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Solution

The fourth proportional to 3,236.24, 4,465.86 and 1,839.44 is: 2,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.24 : 4,465.86 = 1,839.44 : x
  2. Step 2: Convert to fraction form
    3,236.24/4,465.86 = 1,839.44/x
  3. Step 3: Cross multiply
    3,236.24x = 4,465.86 × 1,839.44
  4. Step 4: Simplify right side
    3,236.24x = 8,214,685.79
  5. Step 5: Solve for x
    x = 8,214,685.79/3,236.24
  6. Step 6: Final answer
    x = 2,538.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.