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Finding the Fourth Proportional to 5,736.89, 7,914.18 and 3,637.37

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Solution

The fourth proportional to 5,736.89, 7,914.18 and 3,637.37 is: 5,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.89 : 7,914.18 = 3,637.37 : x
  2. Step 2: Convert to fraction form
    5,736.89/7,914.18 = 3,637.37/x
  3. Step 3: Cross multiply
    5,736.89x = 7,914.18 × 3,637.37
  4. Step 4: Simplify right side
    5,736.89x = 28,786,800.91
  5. Step 5: Solve for x
    x = 28,786,800.91/5,736.89
  6. Step 6: Final answer
    x = 5,017.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.