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Finding the Fourth Proportional to 6,287.36, 8,674.24 and 3,769.52

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Solution

The fourth proportional to 6,287.36, 8,674.24 and 3,769.52 is: 5,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.36 : 8,674.24 = 3,769.52 : x
  2. Step 2: Convert to fraction form
    6,287.36/8,674.24 = 3,769.52/x
  3. Step 3: Cross multiply
    6,287.36x = 8,674.24 × 3,769.52
  4. Step 4: Simplify right side
    6,287.36x = 32,697,721.16
  5. Step 5: Solve for x
    x = 32,697,721.16/6,287.36
  6. Step 6: Final answer
    x = 5,200.55

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