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Finding the Fourth Proportional to 3,783.43, 5,676.76 and 3,461.05

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Solution

The fourth proportional to 3,783.43, 5,676.76 and 3,461.05 is: 5,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.43 : 5,676.76 = 3,461.05 : x
  2. Step 2: Convert to fraction form
    3,783.43/5,676.76 = 3,461.05/x
  3. Step 3: Cross multiply
    3,783.43x = 5,676.76 × 3,461.05
  4. Step 4: Simplify right side
    3,783.43x = 19,647,527.35
  5. Step 5: Solve for x
    x = 19,647,527.35/3,783.43
  6. Step 6: Final answer
    x = 5,193.05

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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.