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Finding the Fourth Proportional to 3,463.10, 5,195.55 and 998.12

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Solution

The fourth proportional to 3,463.10, 5,195.55 and 998.12 is: 1,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.10 : 5,195.55 = 998.12 : x
  2. Step 2: Convert to fraction form
    3,463.10/5,195.55 = 998.12/x
  3. Step 3: Cross multiply
    3,463.10x = 5,195.55 × 998.12
  4. Step 4: Simplify right side
    3,463.10x = 5,185,756.39
  5. Step 5: Solve for x
    x = 5,185,756.39/3,463.10
  6. Step 6: Final answer
    x = 1,497.43

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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.