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Finding the Fourth Proportional to 5,322.05, 7,343.76 and 3,197.27

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Solution

The fourth proportional to 5,322.05, 7,343.76 and 3,197.27 is: 4,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.05 : 7,343.76 = 3,197.27 : x
  2. Step 2: Convert to fraction form
    5,322.05/7,343.76 = 3,197.27/x
  3. Step 3: Cross multiply
    5,322.05x = 7,343.76 × 3,197.27
  4. Step 4: Simplify right side
    5,322.05x = 23,480,013.88
  5. Step 5: Solve for x
    x = 23,480,013.88/5,322.05
  6. Step 6: Final answer
    x = 4,411.83

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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.