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Finding the Fourth Proportional to 3,822.35, 5,734.41 and 1,189.71

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Solution

The fourth proportional to 3,822.35, 5,734.41 and 1,189.71 is: 1,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.35 : 5,734.41 = 1,189.71 : x
  2. Step 2: Convert to fraction form
    3,822.35/5,734.41 = 1,189.71/x
  3. Step 3: Cross multiply
    3,822.35x = 5,734.41 × 1,189.71
  4. Step 4: Simplify right side
    3,822.35x = 6,822,284.92
  5. Step 5: Solve for x
    x = 6,822,284.92/3,822.35
  6. Step 6: Final answer
    x = 1,784.84

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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.