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Finding the Fourth Proportional to 4,827.89, 7,241.23 and 1,540.71

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Solution

The fourth proportional to 4,827.89, 7,241.23 and 1,540.71 is: 2,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.89 : 7,241.23 = 1,540.71 : x
  2. Step 2: Convert to fraction form
    4,827.89/7,241.23 = 1,540.71/x
  3. Step 3: Cross multiply
    4,827.89x = 7,241.23 × 1,540.71
  4. Step 4: Simplify right side
    4,827.89x = 11,156,635.47
  5. Step 5: Solve for x
    x = 11,156,635.47/4,827.89
  6. Step 6: Final answer
    x = 2,310.87

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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.