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Finding the Fourth Proportional to 3,783.72, 5,676.30 and 1,151.40

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Solution

The fourth proportional to 3,783.72, 5,676.30 and 1,151.40 is: 1,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.72 : 5,676.30 = 1,151.40 : x
  2. Step 2: Convert to fraction form
    3,783.72/5,676.30 = 1,151.40/x
  3. Step 3: Cross multiply
    3,783.72x = 5,676.30 × 1,151.40
  4. Step 4: Simplify right side
    3,783.72x = 6,535,691.82
  5. Step 5: Solve for x
    x = 6,535,691.82/3,783.72
  6. Step 6: Final answer
    x = 1,727.32

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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.