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Finding the Fourth Proportional to 4,537.80, 6,809.64 and 1,940.70

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Solution

The fourth proportional to 4,537.80, 6,809.64 and 1,940.70 is: 2,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.80 : 6,809.64 = 1,940.70 : x
  2. Step 2: Convert to fraction form
    4,537.80/6,809.64 = 1,940.70/x
  3. Step 3: Cross multiply
    4,537.80x = 6,809.64 × 1,940.70
  4. Step 4: Simplify right side
    4,537.80x = 13,215,468.35
  5. Step 5: Solve for x
    x = 13,215,468.35/4,537.80
  6. Step 6: Final answer
    x = 2,912.31

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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.