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Finding the Fourth Proportional to 3,675.23, 5,513.75 and 1,827.22

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Solution

The fourth proportional to 3,675.23, 5,513.75 and 1,827.22 is: 2,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.23 : 5,513.75 = 1,827.22 : x
  2. Step 2: Convert to fraction form
    3,675.23/5,513.75 = 1,827.22/x
  3. Step 3: Cross multiply
    3,675.23x = 5,513.75 × 1,827.22
  4. Step 4: Simplify right side
    3,675.23x = 10,074,797.57
  5. Step 5: Solve for x
    x = 10,074,797.57/3,675.23
  6. Step 6: Final answer
    x = 2,741.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.