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Finding the Fourth Proportional to 5,163.42, 7,745.04 and 1,700.70

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Solution

The fourth proportional to 5,163.42, 7,745.04 and 1,700.70 is: 2,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.42 : 7,745.04 = 1,700.70 : x
  2. Step 2: Convert to fraction form
    5,163.42/7,745.04 = 1,700.70/x
  3. Step 3: Cross multiply
    5,163.42x = 7,745.04 × 1,700.70
  4. Step 4: Simplify right side
    5,163.42x = 13,171,989.53
  5. Step 5: Solve for x
    x = 13,171,989.53/5,163.42
  6. Step 6: Final answer
    x = 2,551.02

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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.