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Finding the Fourth Proportional to 3,274.68, 4,519.08 and 1,858.44

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Solution

The fourth proportional to 3,274.68, 4,519.08 and 1,858.44 is: 2,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.68 : 4,519.08 = 1,858.44 : x
  2. Step 2: Convert to fraction form
    3,274.68/4,519.08 = 1,858.44/x
  3. Step 3: Cross multiply
    3,274.68x = 4,519.08 × 1,858.44
  4. Step 4: Simplify right side
    3,274.68x = 8,398,439.04
  5. Step 5: Solve for x
    x = 8,398,439.04/3,274.68
  6. Step 6: Final answer
    x = 2,564.66

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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.