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Finding the Fourth Proportional to 3,923.94, 5,883.75 and 1,731.63

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Solution

The fourth proportional to 3,923.94, 5,883.75 and 1,731.63 is: 2,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.94 : 5,883.75 = 1,731.63 : x
  2. Step 2: Convert to fraction form
    3,923.94/5,883.75 = 1,731.63/x
  3. Step 3: Cross multiply
    3,923.94x = 5,883.75 × 1,731.63
  4. Step 4: Simplify right side
    3,923.94x = 10,188,478.01
  5. Step 5: Solve for x
    x = 10,188,478.01/3,923.94
  6. Step 6: Final answer
    x = 2,596.49

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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.