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Finding the Fourth Proportional to 4,151.81, 5,729.50 and 2,288.81

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Solution

The fourth proportional to 4,151.81, 5,729.50 and 2,288.81 is: 3,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.81 : 5,729.50 = 2,288.81 : x
  2. Step 2: Convert to fraction form
    4,151.81/5,729.50 = 2,288.81/x
  3. Step 3: Cross multiply
    4,151.81x = 5,729.50 × 2,288.81
  4. Step 4: Simplify right side
    4,151.81x = 13,113,736.90
  5. Step 5: Solve for x
    x = 13,113,736.90/4,151.81
  6. Step 6: Final answer
    x = 3,158.56

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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.