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Finding the Fourth Proportional to 3,197.25, 4,414.59 and 3,146.22

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Solution

The fourth proportional to 3,197.25, 4,414.59 and 3,146.22 is: 4,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.25 : 4,414.59 = 3,146.22 : x
  2. Step 2: Convert to fraction form
    3,197.25/4,414.59 = 3,146.22/x
  3. Step 3: Cross multiply
    3,197.25x = 4,414.59 × 3,146.22
  4. Step 4: Simplify right side
    3,197.25x = 13,889,271.35
  5. Step 5: Solve for x
    x = 13,889,271.35/3,197.25
  6. Step 6: Final answer
    x = 4,344.13

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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.