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Finding the Fourth Proportional to 3,798.61, 5,239.83 and 2,305.78

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Solution

The fourth proportional to 3,798.61, 5,239.83 and 2,305.78 is: 3,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.61 : 5,239.83 = 2,305.78 : x
  2. Step 2: Convert to fraction form
    3,798.61/5,239.83 = 2,305.78/x
  3. Step 3: Cross multiply
    3,798.61x = 5,239.83 × 2,305.78
  4. Step 4: Simplify right side
    3,798.61x = 12,081,895.22
  5. Step 5: Solve for x
    x = 12,081,895.22/3,798.61
  6. Step 6: Final answer
    x = 3,180.61

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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.