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Finding the Fourth Proportional to 3,827.91, 5,741.18 and 1,054.22

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Solution

The fourth proportional to 3,827.91, 5,741.18 and 1,054.22 is: 1,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.91 : 5,741.18 = 1,054.22 : x
  2. Step 2: Convert to fraction form
    3,827.91/5,741.18 = 1,054.22/x
  3. Step 3: Cross multiply
    3,827.91x = 5,741.18 × 1,054.22
  4. Step 4: Simplify right side
    3,827.91x = 6,052,475.86
  5. Step 5: Solve for x
    x = 6,052,475.86/3,827.91
  6. Step 6: Final answer
    x = 1,581.14

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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.