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Finding the Fourth Proportional to 5,729.53, 8,597.49 and 3,096.99

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Solution

The fourth proportional to 5,729.53, 8,597.49 and 3,096.99 is: 4,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.53 : 8,597.49 = 3,096.99 : x
  2. Step 2: Convert to fraction form
    5,729.53/8,597.49 = 3,096.99/x
  3. Step 3: Cross multiply
    5,729.53x = 8,597.49 × 3,096.99
  4. Step 4: Simplify right side
    5,729.53x = 26,626,340.56
  5. Step 5: Solve for x
    x = 26,626,340.56/5,729.53
  6. Step 6: Final answer
    x = 4,647.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.