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Finding the Fourth Proportional to 6,491.34, 8,958.24 and 3,658.82

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Solution

The fourth proportional to 6,491.34, 8,958.24 and 3,658.82 is: 5,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.34 : 8,958.24 = 3,658.82 : x
  2. Step 2: Convert to fraction form
    6,491.34/8,958.24 = 3,658.82/x
  3. Step 3: Cross multiply
    6,491.34x = 8,958.24 × 3,658.82
  4. Step 4: Simplify right side
    6,491.34x = 32,776,542.89
  5. Step 5: Solve for x
    x = 32,776,542.89/6,491.34
  6. Step 6: Final answer
    x = 5,049.27

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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.