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Finding the Fourth Proportional to 3,546.75, 5,320.14 and 1,467.90

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Solution

The fourth proportional to 3,546.75, 5,320.14 and 1,467.90 is: 2,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.75 : 5,320.14 = 1,467.90 : x
  2. Step 2: Convert to fraction form
    3,546.75/5,320.14 = 1,467.90/x
  3. Step 3: Cross multiply
    3,546.75x = 5,320.14 × 1,467.90
  4. Step 4: Simplify right side
    3,546.75x = 7,809,433.51
  5. Step 5: Solve for x
    x = 7,809,433.51/3,546.75
  6. Step 6: Final answer
    x = 2,201.86

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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.