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Finding the Fourth Proportional to 3,690.64, 5,094.12 and 2,198.08

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Solution

The fourth proportional to 3,690.64, 5,094.12 and 2,198.08 is: 3,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.64 : 5,094.12 = 2,198.08 : x
  2. Step 2: Convert to fraction form
    3,690.64/5,094.12 = 2,198.08/x
  3. Step 3: Cross multiply
    3,690.64x = 5,094.12 × 2,198.08
  4. Step 4: Simplify right side
    3,690.64x = 11,197,283.29
  5. Step 5: Solve for x
    x = 11,197,283.29/3,690.64
  6. Step 6: Final answer
    x = 3,033.97

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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.