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Finding the Fourth Proportional to 6,491.29, 8,958.64 and 3,975.06

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Solution

The fourth proportional to 6,491.29, 8,958.64 and 3,975.06 is: 5,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.29 : 8,958.64 = 3,975.06 : x
  2. Step 2: Convert to fraction form
    6,491.29/8,958.64 = 3,975.06/x
  3. Step 3: Cross multiply
    6,491.29x = 8,958.64 × 3,975.06
  4. Step 4: Simplify right side
    6,491.29x = 35,611,131.52
  5. Step 5: Solve for x
    x = 35,611,131.52/6,491.29
  6. Step 6: Final answer
    x = 5,485.99

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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.