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Finding the Fourth Proportional to 3,266.28, 4,894.62 and 2,574.64

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Solution

The fourth proportional to 3,266.28, 4,894.62 and 2,574.64 is: 3,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.28 : 4,894.62 = 2,574.64 : x
  2. Step 2: Convert to fraction form
    3,266.28/4,894.62 = 2,574.64/x
  3. Step 3: Cross multiply
    3,266.28x = 4,894.62 × 2,574.64
  4. Step 4: Simplify right side
    3,266.28x = 12,601,884.44
  5. Step 5: Solve for x
    x = 12,601,884.44/3,266.28
  6. Step 6: Final answer
    x = 3,858.18

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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.