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Finding the Fourth Proportional to 6,034.42, 8,324.53 and 3,672.46

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Solution

The fourth proportional to 6,034.42, 8,324.53 and 3,672.46 is: 5,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.42 : 8,324.53 = 3,672.46 : x
  2. Step 2: Convert to fraction form
    6,034.42/8,324.53 = 3,672.46/x
  3. Step 3: Cross multiply
    6,034.42x = 8,324.53 × 3,672.46
  4. Step 4: Simplify right side
    6,034.42x = 30,571,503.44
  5. Step 5: Solve for x
    x = 30,571,503.44/6,034.42
  6. Step 6: Final answer
    x = 5,066.19

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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.