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Finding the Fourth Proportional to 3,726.46, 5,584.20 and 1,644.55

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Solution

The fourth proportional to 3,726.46, 5,584.20 and 1,644.55 is: 2,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.46 : 5,584.20 = 1,644.55 : x
  2. Step 2: Convert to fraction form
    3,726.46/5,584.20 = 1,644.55/x
  3. Step 3: Cross multiply
    3,726.46x = 5,584.20 × 1,644.55
  4. Step 4: Simplify right side
    3,726.46x = 9,183,496.11
  5. Step 5: Solve for x
    x = 9,183,496.11/3,726.46
  6. Step 6: Final answer
    x = 2,464.40

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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.