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Finding the Fourth Proportional to 3,644.27, 5,471.52 and 1,866.61

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Solution

The fourth proportional to 3,644.27, 5,471.52 and 1,866.61 is: 2,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.27 : 5,471.52 = 1,866.61 : x
  2. Step 2: Convert to fraction form
    3,644.27/5,471.52 = 1,866.61/x
  3. Step 3: Cross multiply
    3,644.27x = 5,471.52 × 1,866.61
  4. Step 4: Simplify right side
    3,644.27x = 10,213,186.45
  5. Step 5: Solve for x
    x = 10,213,186.45/3,644.27
  6. Step 6: Final answer
    x = 2,802.53

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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.