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Finding the Fourth Proportional to 5,606.14, 7,735.89 and 3,247.84

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Solution

The fourth proportional to 5,606.14, 7,735.89 and 3,247.84 is: 4,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.14 : 7,735.89 = 3,247.84 : x
  2. Step 2: Convert to fraction form
    5,606.14/7,735.89 = 3,247.84/x
  3. Step 3: Cross multiply
    5,606.14x = 7,735.89 × 3,247.84
  4. Step 4: Simplify right side
    5,606.14x = 25,124,932.98
  5. Step 5: Solve for x
    x = 25,124,932.98/5,606.14
  6. Step 6: Final answer
    x = 4,481.68

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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.