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Finding the Fourth Proportional to 3,467.80, 5,201.70 and 2,852.20

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Solution

The fourth proportional to 3,467.80, 5,201.70 and 2,852.20 is: 4,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.80 : 5,201.70 = 2,852.20 : x
  2. Step 2: Convert to fraction form
    3,467.80/5,201.70 = 2,852.20/x
  3. Step 3: Cross multiply
    3,467.80x = 5,201.70 × 2,852.20
  4. Step 4: Simplify right side
    3,467.80x = 14,836,288.74
  5. Step 5: Solve for x
    x = 14,836,288.74/3,467.80
  6. Step 6: Final answer
    x = 4,278.30

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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.