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Finding the Fourth Proportional to 3,927.83, 5,892.46 and 1,295.49

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Solution

The fourth proportional to 3,927.83, 5,892.46 and 1,295.49 is: 1,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.83 : 5,892.46 = 1,295.49 : x
  2. Step 2: Convert to fraction form
    3,927.83/5,892.46 = 1,295.49/x
  3. Step 3: Cross multiply
    3,927.83x = 5,892.46 × 1,295.49
  4. Step 4: Simplify right side
    3,927.83x = 7,633,623.01
  5. Step 5: Solve for x
    x = 7,633,623.01/3,927.83
  6. Step 6: Final answer
    x = 1,943.47

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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.