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Finding the Fourth Proportional to 6,537.42, 9,020.19 and 3,704.55

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Solution

The fourth proportional to 6,537.42, 9,020.19 and 3,704.55 is: 5,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.42 : 9,020.19 = 3,704.55 : x
  2. Step 2: Convert to fraction form
    6,537.42/9,020.19 = 3,704.55/x
  3. Step 3: Cross multiply
    6,537.42x = 9,020.19 × 3,704.55
  4. Step 4: Simplify right side
    6,537.42x = 33,415,744.86
  5. Step 5: Solve for x
    x = 33,415,744.86/6,537.42
  6. Step 6: Final answer
    x = 5,111.46

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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.