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Finding the Fourth Proportional to 4,116.05, 5,676.57 and 2,859.20

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Solution

The fourth proportional to 4,116.05, 5,676.57 and 2,859.20 is: 3,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.05 : 5,676.57 = 2,859.20 : x
  2. Step 2: Convert to fraction form
    4,116.05/5,676.57 = 2,859.20/x
  3. Step 3: Cross multiply
    4,116.05x = 5,676.57 × 2,859.20
  4. Step 4: Simplify right side
    4,116.05x = 16,230,420.56
  5. Step 5: Solve for x
    x = 16,230,420.56/4,116.05
  6. Step 6: Final answer
    x = 3,943.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.