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Finding the Fourth Proportional to 3,872.94, 5,809.73 and 1,240.83

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Solution

The fourth proportional to 3,872.94, 5,809.73 and 1,240.83 is: 1,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.94 : 5,809.73 = 1,240.83 : x
  2. Step 2: Convert to fraction form
    3,872.94/5,809.73 = 1,240.83/x
  3. Step 3: Cross multiply
    3,872.94x = 5,809.73 × 1,240.83
  4. Step 4: Simplify right side
    3,872.94x = 7,208,887.28
  5. Step 5: Solve for x
    x = 7,208,887.28/3,872.94
  6. Step 6: Final answer
    x = 1,861.35

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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.