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Finding the Fourth Proportional to 4,113.69, 5,676.90 and 2,250.69

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Solution

The fourth proportional to 4,113.69, 5,676.90 and 2,250.69 is: 3,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.69 : 5,676.90 = 2,250.69 : x
  2. Step 2: Convert to fraction form
    4,113.69/5,676.90 = 2,250.69/x
  3. Step 3: Cross multiply
    4,113.69x = 5,676.90 × 2,250.69
  4. Step 4: Simplify right side
    4,113.69x = 12,776,930.81
  5. Step 5: Solve for x
    x = 12,776,930.81/4,113.69
  6. Step 6: Final answer
    x = 3,105.95

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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.