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Finding the Fourth Proportional to 3,884.73, 5,828.29 and 2,499.63

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Solution

The fourth proportional to 3,884.73, 5,828.29 and 2,499.63 is: 3,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.73 : 5,828.29 = 2,499.63 : x
  2. Step 2: Convert to fraction form
    3,884.73/5,828.29 = 2,499.63/x
  3. Step 3: Cross multiply
    3,884.73x = 5,828.29 × 2,499.63
  4. Step 4: Simplify right side
    3,884.73x = 14,568,540.43
  5. Step 5: Solve for x
    x = 14,568,540.43/3,884.73
  6. Step 6: Final answer
    x = 3,750.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.