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Finding the Fourth Proportional to 3,197.62, 4,786.21 and 1,713.15

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Solution

The fourth proportional to 3,197.62, 4,786.21 and 1,713.15 is: 2,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.62 : 4,786.21 = 1,713.15 : x
  2. Step 2: Convert to fraction form
    3,197.62/4,786.21 = 1,713.15/x
  3. Step 3: Cross multiply
    3,197.62x = 4,786.21 × 1,713.15
  4. Step 4: Simplify right side
    3,197.62x = 8,199,463.16
  5. Step 5: Solve for x
    x = 8,199,463.16/3,197.62
  6. Step 6: Final answer
    x = 2,564.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.