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Finding the Fourth Proportional to 3,464.13, 5,195.58 and 998.35

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Solution

The fourth proportional to 3,464.13, 5,195.58 and 998.35 is: 1,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.13 : 5,195.58 = 998.35 : x
  2. Step 2: Convert to fraction form
    3,464.13/5,195.58 = 998.35/x
  3. Step 3: Cross multiply
    3,464.13x = 5,195.58 × 998.35
  4. Step 4: Simplify right side
    3,464.13x = 5,186,990.56
  5. Step 5: Solve for x
    x = 5,186,990.56/3,464.13
  6. Step 6: Final answer
    x = 1,497.34

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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.