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Finding the Fourth Proportional to 3,224.25, 4,449.47 and 1,827

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Solution

The fourth proportional to 3,224.25, 4,449.47 and 1,827 is: 2,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.25 : 4,449.47 = 1,827 : x
  2. Step 2: Convert to fraction form
    3,224.25/4,449.47 = 1,827/x
  3. Step 3: Cross multiply
    3,224.25x = 4,449.47 × 1,827
  4. Step 4: Simplify right side
    3,224.25x = 8,129,172.56
  5. Step 5: Solve for x
    x = 8,129,172.56/3,224.25
  6. Step 6: Final answer
    x = 2,521.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.