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Finding the Fourth Proportional to 5,629.68, 7,770.04 and 3,741.36

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Solution

The fourth proportional to 5,629.68, 7,770.04 and 3,741.36 is: 5,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.68 : 7,770.04 = 3,741.36 : x
  2. Step 2: Convert to fraction form
    5,629.68/7,770.04 = 3,741.36/x
  3. Step 3: Cross multiply
    5,629.68x = 7,770.04 × 3,741.36
  4. Step 4: Simplify right side
    5,629.68x = 29,070,516.85
  5. Step 5: Solve for x
    x = 29,070,516.85/5,629.68
  6. Step 6: Final answer
    x = 5,163.80

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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.