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Finding the Fourth Proportional to 3,784.49, 5,676.73 and 1,187.63

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Solution

The fourth proportional to 3,784.49, 5,676.73 and 1,187.63 is: 1,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.49 : 5,676.73 = 1,187.63 : x
  2. Step 2: Convert to fraction form
    3,784.49/5,676.73 = 1,187.63/x
  3. Step 3: Cross multiply
    3,784.49x = 5,676.73 × 1,187.63
  4. Step 4: Simplify right side
    3,784.49x = 6,741,826.47
  5. Step 5: Solve for x
    x = 6,741,826.47/3,784.49
  6. Step 6: Final answer
    x = 1,781.44

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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.