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Finding the Fourth Proportional to 3,773.94, 5,661.99 and 1,827.24

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Solution

The fourth proportional to 3,773.94, 5,661.99 and 1,827.24 is: 2,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.94 : 5,661.99 = 1,827.24 : x
  2. Step 2: Convert to fraction form
    3,773.94/5,661.99 = 1,827.24/x
  3. Step 3: Cross multiply
    3,773.94x = 5,661.99 × 1,827.24
  4. Step 4: Simplify right side
    3,773.94x = 10,345,814.61
  5. Step 5: Solve for x
    x = 10,345,814.61/3,773.94
  6. Step 6: Final answer
    x = 2,741.38

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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.