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Finding the Fourth Proportional to 6,236.68, 8,605.56 and 3,584.20

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Solution

The fourth proportional to 6,236.68, 8,605.56 and 3,584.20 is: 4,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.68 : 8,605.56 = 3,584.20 : x
  2. Step 2: Convert to fraction form
    6,236.68/8,605.56 = 3,584.20/x
  3. Step 3: Cross multiply
    6,236.68x = 8,605.56 × 3,584.20
  4. Step 4: Simplify right side
    6,236.68x = 30,844,048.15
  5. Step 5: Solve for x
    x = 30,844,048.15/6,236.68
  6. Step 6: Final answer
    x = 4,945.59

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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.