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Finding the Fourth Proportional to 6,380.39, 8,804.97 and 3,727.24

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Solution

The fourth proportional to 6,380.39, 8,804.97 and 3,727.24 is: 5,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.39 : 8,804.97 = 3,727.24 : x
  2. Step 2: Convert to fraction form
    6,380.39/8,804.97 = 3,727.24/x
  3. Step 3: Cross multiply
    6,380.39x = 8,804.97 × 3,727.24
  4. Step 4: Simplify right side
    6,380.39x = 32,818,214.37
  5. Step 5: Solve for x
    x = 32,818,214.37/6,380.39
  6. Step 6: Final answer
    x = 5,143.60

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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.