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Finding the Fourth Proportional to 5,604.56, 7,734.18 and 3,509.84

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Solution

The fourth proportional to 5,604.56, 7,734.18 and 3,509.84 is: 4,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.56 : 7,734.18 = 3,509.84 : x
  2. Step 2: Convert to fraction form
    5,604.56/7,734.18 = 3,509.84/x
  3. Step 3: Cross multiply
    5,604.56x = 7,734.18 × 3,509.84
  4. Step 4: Simplify right side
    5,604.56x = 27,145,734.33
  5. Step 5: Solve for x
    x = 27,145,734.33/5,604.56
  6. Step 6: Final answer
    x = 4,843.51

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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.