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Finding the Fourth Proportional to 3,467.90, 5,203.06 and 2,167.84

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Solution

The fourth proportional to 3,467.90, 5,203.06 and 2,167.84 is: 3,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.90 : 5,203.06 = 2,167.84 : x
  2. Step 2: Convert to fraction form
    3,467.90/5,203.06 = 2,167.84/x
  3. Step 3: Cross multiply
    3,467.90x = 5,203.06 × 2,167.84
  4. Step 4: Simplify right side
    3,467.90x = 11,279,401.59
  5. Step 5: Solve for x
    x = 11,279,401.59/3,467.90
  6. Step 6: Final answer
    x = 3,252.52

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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.