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Finding the Fourth Proportional to 4,165.30, 6,255.15 and 2,221.30

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Solution

The fourth proportional to 4,165.30, 6,255.15 and 2,221.30 is: 3,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.30 : 6,255.15 = 2,221.30 : x
  2. Step 2: Convert to fraction form
    4,165.30/6,255.15 = 2,221.30/x
  3. Step 3: Cross multiply
    4,165.30x = 6,255.15 × 2,221.30
  4. Step 4: Simplify right side
    4,165.30x = 13,894,564.70
  5. Step 5: Solve for x
    x = 13,894,564.70/4,165.30
  6. Step 6: Final answer
    x = 3,335.79

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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.