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Finding the Fourth Proportional to 3,825.84, 5,740.39 and 2,161.22

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Solution

The fourth proportional to 3,825.84, 5,740.39 and 2,161.22 is: 3,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.84 : 5,740.39 = 2,161.22 : x
  2. Step 2: Convert to fraction form
    3,825.84/5,740.39 = 2,161.22/x
  3. Step 3: Cross multiply
    3,825.84x = 5,740.39 × 2,161.22
  4. Step 4: Simplify right side
    3,825.84x = 12,406,216.97
  5. Step 5: Solve for x
    x = 12,406,216.97/3,825.84
  6. Step 6: Final answer
    x = 3,242.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.