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Finding the Fourth Proportional to 5,467.87, 8,201.84 and 2,345.24

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Solution

The fourth proportional to 5,467.87, 8,201.84 and 2,345.24 is: 3,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.87 : 8,201.84 = 2,345.24 : x
  2. Step 2: Convert to fraction form
    5,467.87/8,201.84 = 2,345.24/x
  3. Step 3: Cross multiply
    5,467.87x = 8,201.84 × 2,345.24
  4. Step 4: Simplify right side
    5,467.87x = 19,235,230.51
  5. Step 5: Solve for x
    x = 19,235,230.51/5,467.87
  6. Step 6: Final answer
    x = 3,517.87

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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.