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Finding the Fourth Proportional to 3,783.91, 5,676.77 and 1,186.84

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Solution

The fourth proportional to 3,783.91, 5,676.77 and 1,186.84 is: 1,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.91 : 5,676.77 = 1,186.84 : x
  2. Step 2: Convert to fraction form
    3,783.91/5,676.77 = 1,186.84/x
  3. Step 3: Cross multiply
    3,783.91x = 5,676.77 × 1,186.84
  4. Step 4: Simplify right side
    3,783.91x = 6,737,417.71
  5. Step 5: Solve for x
    x = 6,737,417.71/3,783.91
  6. Step 6: Final answer
    x = 1,780.54

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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.