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Finding the Fourth Proportional to 5,090.94, 7,637.31 and 1,805.94

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Solution

The fourth proportional to 5,090.94, 7,637.31 and 1,805.94 is: 2,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.94 : 7,637.31 = 1,805.94 : x
  2. Step 2: Convert to fraction form
    5,090.94/7,637.31 = 1,805.94/x
  3. Step 3: Cross multiply
    5,090.94x = 7,637.31 × 1,805.94
  4. Step 4: Simplify right side
    5,090.94x = 13,792,523.62
  5. Step 5: Solve for x
    x = 13,792,523.62/5,090.94
  6. Step 6: Final answer
    x = 2,709.23

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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.