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Finding the Fourth Proportional to 6,450.04, 9,670.74 and 3,679.80

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Solution

The fourth proportional to 6,450.04, 9,670.74 and 3,679.80 is: 5,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.04 : 9,670.74 = 3,679.80 : x
  2. Step 2: Convert to fraction form
    6,450.04/9,670.74 = 3,679.80/x
  3. Step 3: Cross multiply
    6,450.04x = 9,670.74 × 3,679.80
  4. Step 4: Simplify right side
    6,450.04x = 35,586,389.05
  5. Step 5: Solve for x
    x = 35,586,389.05/6,450.04
  6. Step 6: Final answer
    x = 5,517.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.