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Finding the Fourth Proportional to 3,459, 5,181.21 and 3,267.30

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Solution

The fourth proportional to 3,459, 5,181.21 and 3,267.30 is: 4,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 5,181.21 = 3,267.30 : x
  2. Step 2: Convert to fraction form
    3,459/5,181.21 = 3,267.30/x
  3. Step 3: Cross multiply
    3,459x = 5,181.21 × 3,267.30
  4. Step 4: Simplify right side
    3,459x = 16,928,567.43
  5. Step 5: Solve for x
    x = 16,928,567.43/3,459
  6. Step 6: Final answer
    x = 4,894.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.