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Finding the Fourth Proportional to 5,754.69, 7,941.29 and 3,236.94

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Solution

The fourth proportional to 5,754.69, 7,941.29 and 3,236.94 is: 4,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.69 : 7,941.29 = 3,236.94 : x
  2. Step 2: Convert to fraction form
    5,754.69/7,941.29 = 3,236.94/x
  3. Step 3: Cross multiply
    5,754.69x = 7,941.29 × 3,236.94
  4. Step 4: Simplify right side
    5,754.69x = 25,705,447.64
  5. Step 5: Solve for x
    x = 25,705,447.64/5,754.69
  6. Step 6: Final answer
    x = 4,466.87

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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.