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Finding the Fourth Proportional to 5,309.46, 7,325.10 and 3,185.04

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Solution

The fourth proportional to 5,309.46, 7,325.10 and 3,185.04 is: 4,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.46 : 7,325.10 = 3,185.04 : x
  2. Step 2: Convert to fraction form
    5,309.46/7,325.10 = 3,185.04/x
  3. Step 3: Cross multiply
    5,309.46x = 7,325.10 × 3,185.04
  4. Step 4: Simplify right side
    5,309.46x = 23,330,736.50
  5. Step 5: Solve for x
    x = 23,330,736.50/5,309.46
  6. Step 6: Final answer
    x = 4,394.18

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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.