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Finding the Fourth Proportional to 3,676.75, 5,070.97 and 2,419.10

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Solution

The fourth proportional to 3,676.75, 5,070.97 and 2,419.10 is: 3,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.75 : 5,070.97 = 2,419.10 : x
  2. Step 2: Convert to fraction form
    3,676.75/5,070.97 = 2,419.10/x
  3. Step 3: Cross multiply
    3,676.75x = 5,070.97 × 2,419.10
  4. Step 4: Simplify right side
    3,676.75x = 12,267,183.53
  5. Step 5: Solve for x
    x = 12,267,183.53/3,676.75
  6. Step 6: Final answer
    x = 3,336.42

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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.