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Finding the Fourth Proportional to 3,917.94, 5,876.31 and 1,285.44

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Solution

The fourth proportional to 3,917.94, 5,876.31 and 1,285.44 is: 1,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.94 : 5,876.31 = 1,285.44 : x
  2. Step 2: Convert to fraction form
    3,917.94/5,876.31 = 1,285.44/x
  3. Step 3: Cross multiply
    3,917.94x = 5,876.31 × 1,285.44
  4. Step 4: Simplify right side
    3,917.94x = 7,553,643.93
  5. Step 5: Solve for x
    x = 7,553,643.93/3,917.94
  6. Step 6: Final answer
    x = 1,927.96

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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.