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Finding the Fourth Proportional to 3,862.94, 5,744.71 and 3,739.92

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Solution

The fourth proportional to 3,862.94, 5,744.71 and 3,739.92 is: 5,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.94 : 5,744.71 = 3,739.92 : x
  2. Step 2: Convert to fraction form
    3,862.94/5,744.71 = 3,739.92/x
  3. Step 3: Cross multiply
    3,862.94x = 5,744.71 × 3,739.92
  4. Step 4: Simplify right side
    3,862.94x = 21,484,755.82
  5. Step 5: Solve for x
    x = 21,484,755.82/3,862.94
  6. Step 6: Final answer
    x = 5,561.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.