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Finding the Fourth Proportional to 3,827.57, 5,741.42 and 1,054.23

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Solution

The fourth proportional to 3,827.57, 5,741.42 and 1,054.23 is: 1,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.57 : 5,741.42 = 1,054.23 : x
  2. Step 2: Convert to fraction form
    3,827.57/5,741.42 = 1,054.23/x
  3. Step 3: Cross multiply
    3,827.57x = 5,741.42 × 1,054.23
  4. Step 4: Simplify right side
    3,827.57x = 6,052,777.21
  5. Step 5: Solve for x
    x = 6,052,777.21/3,827.57
  6. Step 6: Final answer
    x = 1,581.36

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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.