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Finding the Fourth Proportional to 5,163.42, 7,744.38 and 1,465.98

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Solution

The fourth proportional to 5,163.42, 7,744.38 and 1,465.98 is: 2,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.42 : 7,744.38 = 1,465.98 : x
  2. Step 2: Convert to fraction form
    5,163.42/7,744.38 = 1,465.98/x
  3. Step 3: Cross multiply
    5,163.42x = 7,744.38 × 1,465.98
  4. Step 4: Simplify right side
    5,163.42x = 11,353,106.19
  5. Step 5: Solve for x
    x = 11,353,106.19/5,163.42
  6. Step 6: Final answer
    x = 2,198.76

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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.