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Finding the Fourth Proportional to 3,572.64, 5,348.28 and 3,197.22

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Solution

The fourth proportional to 3,572.64, 5,348.28 and 3,197.22 is: 4,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.64 : 5,348.28 = 3,197.22 : x
  2. Step 2: Convert to fraction form
    3,572.64/5,348.28 = 3,197.22/x
  3. Step 3: Cross multiply
    3,572.64x = 5,348.28 × 3,197.22
  4. Step 4: Simplify right side
    3,572.64x = 17,099,627.78
  5. Step 5: Solve for x
    x = 17,099,627.78/3,572.64
  6. Step 6: Final answer
    x = 4,786.27

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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.