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Finding the Fourth Proportional to 5,090.56, 7,637.46 and 3,243.28

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Solution

The fourth proportional to 5,090.56, 7,637.46 and 3,243.28 is: 4,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.56 : 7,637.46 = 3,243.28 : x
  2. Step 2: Convert to fraction form
    5,090.56/7,637.46 = 3,243.28/x
  3. Step 3: Cross multiply
    5,090.56x = 7,637.46 × 3,243.28
  4. Step 4: Simplify right side
    5,090.56x = 24,770,421.27
  5. Step 5: Solve for x
    x = 24,770,421.27/5,090.56
  6. Step 6: Final answer
    x = 4,865.95

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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.