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Finding the Fourth Proportional to 3,224.44, 4,449.62 and 1,827.08

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Solution

The fourth proportional to 3,224.44, 4,449.62 and 1,827.08 is: 2,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.44 : 4,449.62 = 1,827.08 : x
  2. Step 2: Convert to fraction form
    3,224.44/4,449.62 = 1,827.08/x
  3. Step 3: Cross multiply
    3,224.44x = 4,449.62 × 1,827.08
  4. Step 4: Simplify right side
    3,224.44x = 8,129,811.71
  5. Step 5: Solve for x
    x = 8,129,811.71/3,224.44
  6. Step 6: Final answer
    x = 2,521.31

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