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Finding the Fourth Proportional to 3,644.86, 5,467.29 and 1,047.80

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Solution

The fourth proportional to 3,644.86, 5,467.29 and 1,047.80 is: 1,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.86 : 5,467.29 = 1,047.80 : x
  2. Step 2: Convert to fraction form
    3,644.86/5,467.29 = 1,047.80/x
  3. Step 3: Cross multiply
    3,644.86x = 5,467.29 × 1,047.80
  4. Step 4: Simplify right side
    3,644.86x = 5,728,599.13
  5. Step 5: Solve for x
    x = 5,728,599.13/3,644.86
  6. Step 6: Final answer
    x = 1,571.69

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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.