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Finding the Fourth Proportional to 6,091.53, 8,406.47 and 3,732.30

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Solution

The fourth proportional to 6,091.53, 8,406.47 and 3,732.30 is: 5,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.53 : 8,406.47 = 3,732.30 : x
  2. Step 2: Convert to fraction form
    6,091.53/8,406.47 = 3,732.30/x
  3. Step 3: Cross multiply
    6,091.53x = 8,406.47 × 3,732.30
  4. Step 4: Simplify right side
    6,091.53x = 31,375,467.98
  5. Step 5: Solve for x
    x = 31,375,467.98/6,091.53
  6. Step 6: Final answer
    x = 5,150.67

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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.