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Finding the Fourth Proportional to 5,092.33, 7,637.46 and 1,393.68

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Solution

The fourth proportional to 5,092.33, 7,637.46 and 1,393.68 is: 2,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.33 : 7,637.46 = 1,393.68 : x
  2. Step 2: Convert to fraction form
    5,092.33/7,637.46 = 1,393.68/x
  3. Step 3: Cross multiply
    5,092.33x = 7,637.46 × 1,393.68
  4. Step 4: Simplify right side
    5,092.33x = 10,644,175.25
  5. Step 5: Solve for x
    x = 10,644,175.25/5,092.33
  6. Step 6: Final answer
    x = 2,090.24

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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.