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Finding the Fourth Proportional to 2,965.25, 4,448.03 and 2,529.54

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Solution

The fourth proportional to 2,965.25, 4,448.03 and 2,529.54 is: 3,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.25 : 4,448.03 = 2,529.54 : x
  2. Step 2: Convert to fraction form
    2,965.25/4,448.03 = 2,529.54/x
  3. Step 3: Cross multiply
    2,965.25x = 4,448.03 × 2,529.54
  4. Step 4: Simplify right side
    2,965.25x = 11,251,457.16
  5. Step 5: Solve for x
    x = 11,251,457.16/2,965.25
  6. Step 6: Final answer
    x = 3,794.44

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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.