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Finding the Fourth Proportional to 6,583.46, 9,084 and 3,930.44

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Solution

The fourth proportional to 6,583.46, 9,084 and 3,930.44 is: 5,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.46 : 9,084 = 3,930.44 : x
  2. Step 2: Convert to fraction form
    6,583.46/9,084 = 3,930.44/x
  3. Step 3: Cross multiply
    6,583.46x = 9,084 × 3,930.44
  4. Step 4: Simplify right side
    6,583.46x = 35,704,116.96
  5. Step 5: Solve for x
    x = 35,704,116.96/6,583.46
  6. Step 6: Final answer
    x = 5,423.31

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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.