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Finding the Fourth Proportional to 6,538.10, 9,021.44 and 3,704.88

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Solution

The fourth proportional to 6,538.10, 9,021.44 and 3,704.88 is: 5,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.10 : 9,021.44 = 3,704.88 : x
  2. Step 2: Convert to fraction form
    6,538.10/9,021.44 = 3,704.88/x
  3. Step 3: Cross multiply
    6,538.10x = 9,021.44 × 3,704.88
  4. Step 4: Simplify right side
    6,538.10x = 33,423,361.89
  5. Step 5: Solve for x
    x = 33,423,361.89/6,538.10
  6. Step 6: Final answer
    x = 5,112.09

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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.