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Finding the Fourth Proportional to 3,644.49, 5,467.10 and 1,047.81

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Solution

The fourth proportional to 3,644.49, 5,467.10 and 1,047.81 is: 1,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.49 : 5,467.10 = 1,047.81 : x
  2. Step 2: Convert to fraction form
    3,644.49/5,467.10 = 1,047.81/x
  3. Step 3: Cross multiply
    3,644.49x = 5,467.10 × 1,047.81
  4. Step 4: Simplify right side
    3,644.49x = 5,728,476.81
  5. Step 5: Solve for x
    x = 5,728,476.81/3,644.49
  6. Step 6: Final answer
    x = 1,571.82

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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.