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Finding the Fourth Proportional to 3,644.16, 5,461.20 and 1,998.72

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Solution

The fourth proportional to 3,644.16, 5,461.20 and 1,998.72 is: 2,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.16 : 5,461.20 = 1,998.72 : x
  2. Step 2: Convert to fraction form
    3,644.16/5,461.20 = 1,998.72/x
  3. Step 3: Cross multiply
    3,644.16x = 5,461.20 × 1,998.72
  4. Step 4: Simplify right side
    3,644.16x = 10,915,409.66
  5. Step 5: Solve for x
    x = 10,915,409.66/3,644.16
  6. Step 6: Final answer
    x = 2,995.32

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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.