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Finding the Fourth Proportional to 3,264.22, 4,891.53 and 1,504.87

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Solution

The fourth proportional to 3,264.22, 4,891.53 and 1,504.87 is: 2,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.22 : 4,891.53 = 1,504.87 : x
  2. Step 2: Convert to fraction form
    3,264.22/4,891.53 = 1,504.87/x
  3. Step 3: Cross multiply
    3,264.22x = 4,891.53 × 1,504.87
  4. Step 4: Simplify right side
    3,264.22x = 7,361,116.75
  5. Step 5: Solve for x
    x = 7,361,116.75/3,264.22
  6. Step 6: Final answer
    x = 2,255.09

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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.