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Finding the Fourth Proportional to 3,788.21, 5,682.25 and 1,191.14

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Solution

The fourth proportional to 3,788.21, 5,682.25 and 1,191.14 is: 1,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.21 : 5,682.25 = 1,191.14 : x
  2. Step 2: Convert to fraction form
    3,788.21/5,682.25 = 1,191.14/x
  3. Step 3: Cross multiply
    3,788.21x = 5,682.25 × 1,191.14
  4. Step 4: Simplify right side
    3,788.21x = 6,768,366.49
  5. Step 5: Solve for x
    x = 6,768,366.49/3,788.21
  6. Step 6: Final answer
    x = 1,786.69

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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.