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Finding the Fourth Proportional to 3,700.49, 5,109.62 and 2,286.23

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Solution

The fourth proportional to 3,700.49, 5,109.62 and 2,286.23 is: 3,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.49 : 5,109.62 = 2,286.23 : x
  2. Step 2: Convert to fraction form
    3,700.49/5,109.62 = 2,286.23/x
  3. Step 3: Cross multiply
    3,700.49x = 5,109.62 × 2,286.23
  4. Step 4: Simplify right side
    3,700.49x = 11,681,729.55
  5. Step 5: Solve for x
    x = 11,681,729.55/3,700.49
  6. Step 6: Final answer
    x = 3,156.81

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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.