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Finding the Fourth Proportional to 3,321.71, 4,550.77 and 3,197.15

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Solution

The fourth proportional to 3,321.71, 4,550.77 and 3,197.15 is: 4,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.71 : 4,550.77 = 3,197.15 : x
  2. Step 2: Convert to fraction form
    3,321.71/4,550.77 = 3,197.15/x
  3. Step 3: Cross multiply
    3,321.71x = 4,550.77 × 3,197.15
  4. Step 4: Simplify right side
    3,321.71x = 14,549,478.32
  5. Step 5: Solve for x
    x = 14,549,478.32/3,321.71
  6. Step 6: Final answer
    x = 4,380.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.