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Finding the Fourth Proportional to 3,464.24, 5,195.14 and 998.39

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Solution

The fourth proportional to 3,464.24, 5,195.14 and 998.39 is: 1,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.24 : 5,195.14 = 998.39 : x
  2. Step 2: Convert to fraction form
    3,464.24/5,195.14 = 998.39/x
  3. Step 3: Cross multiply
    3,464.24x = 5,195.14 × 998.39
  4. Step 4: Simplify right side
    3,464.24x = 5,186,786.32
  5. Step 5: Solve for x
    x = 5,186,786.32/3,464.24
  6. Step 6: Final answer
    x = 1,497.24

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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.