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Finding the Fourth Proportional to 4,110.67, 5,672.64 and 2,247.67

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Solution

The fourth proportional to 4,110.67, 5,672.64 and 2,247.67 is: 3,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.67 : 5,672.64 = 2,247.67 : x
  2. Step 2: Convert to fraction form
    4,110.67/5,672.64 = 2,247.67/x
  3. Step 3: Cross multiply
    4,110.67x = 5,672.64 × 2,247.67
  4. Step 4: Simplify right side
    4,110.67x = 12,750,222.75
  5. Step 5: Solve for x
    x = 12,750,222.75/4,110.67
  6. Step 6: Final answer
    x = 3,101.74

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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.