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Finding the Fourth Proportional to 3,862.76, 5,744.43 and 3,739.73

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Solution

The fourth proportional to 3,862.76, 5,744.43 and 3,739.73 is: 5,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.76 : 5,744.43 = 3,739.73 : x
  2. Step 2: Convert to fraction form
    3,862.76/5,744.43 = 3,739.73/x
  3. Step 3: Cross multiply
    3,862.76x = 5,744.43 × 3,739.73
  4. Step 4: Simplify right side
    3,862.76x = 21,482,588.48
  5. Step 5: Solve for x
    x = 21,482,588.48/3,862.76
  6. Step 6: Final answer
    x = 5,561.47

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Why These Related Problems?

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