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Finding the Fourth Proportional to 3,676.16, 5,509.38 and 2,697.68

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Solution

The fourth proportional to 3,676.16, 5,509.38 and 2,697.68 is: 4,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.16 : 5,509.38 = 2,697.68 : x
  2. Step 2: Convert to fraction form
    3,676.16/5,509.38 = 2,697.68/x
  3. Step 3: Cross multiply
    3,676.16x = 5,509.38 × 2,697.68
  4. Step 4: Simplify right side
    3,676.16x = 14,862,544.24
  5. Step 5: Solve for x
    x = 14,862,544.24/3,676.16
  6. Step 6: Final answer
    x = 4,042.95

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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.