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Finding the Fourth Proportional to 3,247.25, 4,862.91 and 3,164.63

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Solution

The fourth proportional to 3,247.25, 4,862.91 and 3,164.63 is: 4,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.25 : 4,862.91 = 3,164.63 : x
  2. Step 2: Convert to fraction form
    3,247.25/4,862.91 = 3,164.63/x
  3. Step 3: Cross multiply
    3,247.25x = 4,862.91 × 3,164.63
  4. Step 4: Simplify right side
    3,247.25x = 15,389,310.87
  5. Step 5: Solve for x
    x = 15,389,310.87/3,247.25
  6. Step 6: Final answer
    x = 4,739.18

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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.