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Finding the Fourth Proportional to 3,783.72, 5,676.38 and 1,186.92

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Solution

The fourth proportional to 3,783.72, 5,676.38 and 1,186.92 is: 1,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.72 : 5,676.38 = 1,186.92 : x
  2. Step 2: Convert to fraction form
    3,783.72/5,676.38 = 1,186.92/x
  3. Step 3: Cross multiply
    3,783.72x = 5,676.38 × 1,186.92
  4. Step 4: Simplify right side
    3,783.72x = 6,737,408.95
  5. Step 5: Solve for x
    x = 6,737,408.95/3,783.72
  6. Step 6: Final answer
    x = 1,780.63

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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.