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Finding the Fourth Proportional to 6,537.44, 9,019.50 and 3,704.54

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Solution

The fourth proportional to 6,537.44, 9,019.50 and 3,704.54 is: 5,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.44 : 9,019.50 = 3,704.54 : x
  2. Step 2: Convert to fraction form
    6,537.44/9,019.50 = 3,704.54/x
  3. Step 3: Cross multiply
    6,537.44x = 9,019.50 × 3,704.54
  4. Step 4: Simplify right side
    6,537.44x = 33,413,098.53
  5. Step 5: Solve for x
    x = 33,413,098.53/6,537.44
  6. Step 6: Final answer
    x = 5,111.04

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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.