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Finding the Fourth Proportional to 4,676.38, 7,014.56 and 2,727.20

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Solution

The fourth proportional to 4,676.38, 7,014.56 and 2,727.20 is: 4,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.38 : 7,014.56 = 2,727.20 : x
  2. Step 2: Convert to fraction form
    4,676.38/7,014.56 = 2,727.20/x
  3. Step 3: Cross multiply
    4,676.38x = 7,014.56 × 2,727.20
  4. Step 4: Simplify right side
    4,676.38x = 19,130,108.03
  5. Step 5: Solve for x
    x = 19,130,108.03/4,676.38
  6. Step 6: Final answer
    x = 4,090.79

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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.