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Finding the Fourth Proportional to 6,453.26, 8,905.50 and 3,658.76

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Solution

The fourth proportional to 6,453.26, 8,905.50 and 3,658.76 is: 5,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.26 : 8,905.50 = 3,658.76 : x
  2. Step 2: Convert to fraction form
    6,453.26/8,905.50 = 3,658.76/x
  3. Step 3: Cross multiply
    6,453.26x = 8,905.50 × 3,658.76
  4. Step 4: Simplify right side
    6,453.26x = 32,583,087.18
  5. Step 5: Solve for x
    x = 32,583,087.18/6,453.26
  6. Step 6: Final answer
    x = 5,049.09

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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.