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Finding the Fourth Proportional to 3,464.11, 5,194.98 and 998.27

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Solution

The fourth proportional to 3,464.11, 5,194.98 and 998.27 is: 1,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.11 : 5,194.98 = 998.27 : x
  2. Step 2: Convert to fraction form
    3,464.11/5,194.98 = 998.27/x
  3. Step 3: Cross multiply
    3,464.11x = 5,194.98 × 998.27
  4. Step 4: Simplify right side
    3,464.11x = 5,185,966.71
  5. Step 5: Solve for x
    x = 5,185,966.71/3,464.11
  6. Step 6: Final answer
    x = 1,497.06

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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.