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Finding the Fourth Proportional to 3,197.94, 4,789.17 and 2,646.06

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Solution

The fourth proportional to 3,197.94, 4,789.17 and 2,646.06 is: 3,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.94 : 4,789.17 = 2,646.06 : x
  2. Step 2: Convert to fraction form
    3,197.94/4,789.17 = 2,646.06/x
  3. Step 3: Cross multiply
    3,197.94x = 4,789.17 × 2,646.06
  4. Step 4: Simplify right side
    3,197.94x = 12,672,431.17
  5. Step 5: Solve for x
    x = 12,672,431.17/3,197.94
  6. Step 6: Final answer
    x = 3,962.69

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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.