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Finding the Fourth Proportional to 3,827.81, 5,741.31 and 1,230.55

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Solution

The fourth proportional to 3,827.81, 5,741.31 and 1,230.55 is: 1,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.81 : 5,741.31 = 1,230.55 : x
  2. Step 2: Convert to fraction form
    3,827.81/5,741.31 = 1,230.55/x
  3. Step 3: Cross multiply
    3,827.81x = 5,741.31 × 1,230.55
  4. Step 4: Simplify right side
    3,827.81x = 7,064,940.31
  5. Step 5: Solve for x
    x = 7,064,940.31/3,827.81
  6. Step 6: Final answer
    x = 1,845.69

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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.