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Finding the Fourth Proportional to 5,197.36, 7,170.32 and 3,204.46

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Solution

The fourth proportional to 5,197.36, 7,170.32 and 3,204.46 is: 4,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.36 : 7,170.32 = 3,204.46 : x
  2. Step 2: Convert to fraction form
    5,197.36/7,170.32 = 3,204.46/x
  3. Step 3: Cross multiply
    5,197.36x = 7,170.32 × 3,204.46
  4. Step 4: Simplify right side
    5,197.36x = 22,976,993.71
  5. Step 5: Solve for x
    x = 22,976,993.71/5,197.36
  6. Step 6: Final answer
    x = 4,420.90

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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.