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Finding the Fourth Proportional to 3,723.69, 5,138.79 and 2,045.21

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Solution

The fourth proportional to 3,723.69, 5,138.79 and 2,045.21 is: 2,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.69 : 5,138.79 = 2,045.21 : x
  2. Step 2: Convert to fraction form
    3,723.69/5,138.79 = 2,045.21/x
  3. Step 3: Cross multiply
    3,723.69x = 5,138.79 × 2,045.21
  4. Step 4: Simplify right side
    3,723.69x = 10,509,879.00
  5. Step 5: Solve for x
    x = 10,509,879.00/3,723.69
  6. Step 6: Final answer
    x = 2,822.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.