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Finding the Fourth Proportional to 3,463.30, 5,195.24 and 998.16

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Solution

The fourth proportional to 3,463.30, 5,195.24 and 998.16 is: 1,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.30 : 5,195.24 = 998.16 : x
  2. Step 2: Convert to fraction form
    3,463.30/5,195.24 = 998.16/x
  3. Step 3: Cross multiply
    3,463.30x = 5,195.24 × 998.16
  4. Step 4: Simplify right side
    3,463.30x = 5,185,680.76
  5. Step 5: Solve for x
    x = 5,185,680.76/3,463.30
  6. Step 6: Final answer
    x = 1,497.32

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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.