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Finding the Fourth Proportional to 4,113.54, 5,676.66 and 2,250.54

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Solution

The fourth proportional to 4,113.54, 5,676.66 and 2,250.54 is: 3,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.54 : 5,676.66 = 2,250.54 : x
  2. Step 2: Convert to fraction form
    4,113.54/5,676.66 = 2,250.54/x
  3. Step 3: Cross multiply
    4,113.54x = 5,676.66 × 2,250.54
  4. Step 4: Simplify right side
    4,113.54x = 12,775,550.40
  5. Step 5: Solve for x
    x = 12,775,550.40/4,113.54
  6. Step 6: Final answer
    x = 3,105.73

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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.