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Finding the Fourth Proportional to 4,151.67, 5,729.22 and 2,288.67

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Solution

The fourth proportional to 4,151.67, 5,729.22 and 2,288.67 is: 3,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.67 : 5,729.22 = 2,288.67 : x
  2. Step 2: Convert to fraction form
    4,151.67/5,729.22 = 2,288.67/x
  3. Step 3: Cross multiply
    4,151.67x = 5,729.22 × 2,288.67
  4. Step 4: Simplify right side
    4,151.67x = 13,112,293.94
  5. Step 5: Solve for x
    x = 13,112,293.94/4,151.67
  6. Step 6: Final answer
    x = 3,158.32

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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.