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Finding the Fourth Proportional to 4,017.72, 6,027.31 and 1,676.56

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Solution

The fourth proportional to 4,017.72, 6,027.31 and 1,676.56 is: 2,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.72 : 6,027.31 = 1,676.56 : x
  2. Step 2: Convert to fraction form
    4,017.72/6,027.31 = 1,676.56/x
  3. Step 3: Cross multiply
    4,017.72x = 6,027.31 × 1,676.56
  4. Step 4: Simplify right side
    4,017.72x = 10,105,146.85
  5. Step 5: Solve for x
    x = 10,105,146.85/4,017.72
  6. Step 6: Final answer
    x = 2,515.14

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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.