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Finding the Fourth Proportional to 3,864.06, 5,796.14 and 1,090.80

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Solution

The fourth proportional to 3,864.06, 5,796.14 and 1,090.80 is: 1,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.06 : 5,796.14 = 1,090.80 : x
  2. Step 2: Convert to fraction form
    3,864.06/5,796.14 = 1,090.80/x
  3. Step 3: Cross multiply
    3,864.06x = 5,796.14 × 1,090.80
  4. Step 4: Simplify right side
    3,864.06x = 6,322,424.06
  5. Step 5: Solve for x
    x = 6,322,424.06/3,864.06
  6. Step 6: Final answer
    x = 1,636.21

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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.