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Finding the Fourth Proportional to 3,790.52, 5,682.12 and 1,192.84

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Solution

The fourth proportional to 3,790.52, 5,682.12 and 1,192.84 is: 1,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.52 : 5,682.12 = 1,192.84 : x
  2. Step 2: Convert to fraction form
    3,790.52/5,682.12 = 1,192.84/x
  3. Step 3: Cross multiply
    3,790.52x = 5,682.12 × 1,192.84
  4. Step 4: Simplify right side
    3,790.52x = 6,777,860.02
  5. Step 5: Solve for x
    x = 6,777,860.02/3,790.52
  6. Step 6: Final answer
    x = 1,788.11

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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.