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Finding the Fourth Proportional to 3,664.52, 5,496.44 and 2,967.80

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Solution

The fourth proportional to 3,664.52, 5,496.44 and 2,967.80 is: 4,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.52 : 5,496.44 = 2,967.80 : x
  2. Step 2: Convert to fraction form
    3,664.52/5,496.44 = 2,967.80/x
  3. Step 3: Cross multiply
    3,664.52x = 5,496.44 × 2,967.80
  4. Step 4: Simplify right side
    3,664.52x = 16,312,334.63
  5. Step 5: Solve for x
    x = 16,312,334.63/3,664.52
  6. Step 6: Final answer
    x = 4,451.42

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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.