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Finding the Fourth Proportional to 6,338.24, 8,748.57 and 3,820.56

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Solution

The fourth proportional to 6,338.24, 8,748.57 and 3,820.56 is: 5,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.24 : 8,748.57 = 3,820.56 : x
  2. Step 2: Convert to fraction form
    6,338.24/8,748.57 = 3,820.56/x
  3. Step 3: Cross multiply
    6,338.24x = 8,748.57 × 3,820.56
  4. Step 4: Simplify right side
    6,338.24x = 33,424,436.60
  5. Step 5: Solve for x
    x = 33,424,436.60/6,338.24
  6. Step 6: Final answer
    x = 5,273.46

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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.