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Finding the Fourth Proportional to 3,827.65, 5,741.61 and 1,230.25

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Solution

The fourth proportional to 3,827.65, 5,741.61 and 1,230.25 is: 1,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.65 : 5,741.61 = 1,230.25 : x
  2. Step 2: Convert to fraction form
    3,827.65/5,741.61 = 1,230.25/x
  3. Step 3: Cross multiply
    3,827.65x = 5,741.61 × 1,230.25
  4. Step 4: Simplify right side
    3,827.65x = 7,063,615.70
  5. Step 5: Solve for x
    x = 7,063,615.70/3,827.65
  6. Step 6: Final answer
    x = 1,845.42

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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.