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Finding the Fourth Proportional to 6,057.77, 9,086.66 and 1,676.48

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Solution

The fourth proportional to 6,057.77, 9,086.66 and 1,676.48 is: 2,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.77 : 9,086.66 = 1,676.48 : x
  2. Step 2: Convert to fraction form
    6,057.77/9,086.66 = 1,676.48/x
  3. Step 3: Cross multiply
    6,057.77x = 9,086.66 × 1,676.48
  4. Step 4: Simplify right side
    6,057.77x = 15,233,549.94
  5. Step 5: Solve for x
    x = 15,233,549.94/6,057.77
  6. Step 6: Final answer
    x = 2,514.71

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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.