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Finding the Fourth Proportional to 3,645.25, 5,467.87 and 1,454.00

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Solution

The fourth proportional to 3,645.25, 5,467.87 and 1,454.00 is: 2,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.25 : 5,467.87 = 1,454.00 : x
  2. Step 2: Convert to fraction form
    3,645.25/5,467.87 = 1,454.00/x
  3. Step 3: Cross multiply
    3,645.25x = 5,467.87 × 1,454.00
  4. Step 4: Simplify right side
    3,645.25x = 7,950,255.64
  5. Step 5: Solve for x
    x = 7,950,255.64/3,645.25
  6. Step 6: Final answer
    x = 2,180.99

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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.