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Finding the Fourth Proportional to 5,604.37, 7,734.03 and 3,086.47

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Solution

The fourth proportional to 5,604.37, 7,734.03 and 3,086.47 is: 4,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.37 : 7,734.03 = 3,086.47 : x
  2. Step 2: Convert to fraction form
    5,604.37/7,734.03 = 3,086.47/x
  3. Step 3: Cross multiply
    5,604.37x = 7,734.03 × 3,086.47
  4. Step 4: Simplify right side
    5,604.37x = 23,870,867.03
  5. Step 5: Solve for x
    x = 23,870,867.03/5,604.37
  6. Step 6: Final answer
    x = 4,259.33

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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.