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Finding the Fourth Proportional to 5,627.81, 8,441.81 and 1,467.57

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Solution

The fourth proportional to 5,627.81, 8,441.81 and 1,467.57 is: 2,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.81 : 8,441.81 = 1,467.57 : x
  2. Step 2: Convert to fraction form
    5,627.81/8,441.81 = 1,467.57/x
  3. Step 3: Cross multiply
    5,627.81x = 8,441.81 × 1,467.57
  4. Step 4: Simplify right side
    5,627.81x = 12,388,947.10
  5. Step 5: Solve for x
    x = 12,388,947.10/5,627.81
  6. Step 6: Final answer
    x = 2,201.38

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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.