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Finding the Fourth Proportional to 3,820.86, 5,732.11 and 1,188.31

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Solution

The fourth proportional to 3,820.86, 5,732.11 and 1,188.31 is: 1,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.86 : 5,732.11 = 1,188.31 : x
  2. Step 2: Convert to fraction form
    3,820.86/5,732.11 = 1,188.31/x
  3. Step 3: Cross multiply
    3,820.86x = 5,732.11 × 1,188.31
  4. Step 4: Simplify right side
    3,820.86x = 6,811,523.63
  5. Step 5: Solve for x
    x = 6,811,523.63/3,820.86
  6. Step 6: Final answer
    x = 1,782.72

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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.