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Finding the Fourth Proportional to 4,111.88, 5,676.21 and 2,697.62

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Solution

The fourth proportional to 4,111.88, 5,676.21 and 2,697.62 is: 3,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.88 : 5,676.21 = 2,697.62 : x
  2. Step 2: Convert to fraction form
    4,111.88/5,676.21 = 2,697.62/x
  3. Step 3: Cross multiply
    4,111.88x = 5,676.21 × 2,697.62
  4. Step 4: Simplify right side
    4,111.88x = 15,312,229.24
  5. Step 5: Solve for x
    x = 15,312,229.24/4,111.88
  6. Step 6: Final answer
    x = 3,723.90

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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.