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Finding the Fourth Proportional to 3,797.86, 5,241.09 and 2,141.86

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Solution

The fourth proportional to 3,797.86, 5,241.09 and 2,141.86 is: 2,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.86 : 5,241.09 = 2,141.86 : x
  2. Step 2: Convert to fraction form
    3,797.86/5,241.09 = 2,141.86/x
  3. Step 3: Cross multiply
    3,797.86x = 5,241.09 × 2,141.86
  4. Step 4: Simplify right side
    3,797.86x = 11,225,681.03
  5. Step 5: Solve for x
    x = 11,225,681.03/3,797.86
  6. Step 6: Final answer
    x = 2,955.79

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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.