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Finding the Fourth Proportional to 3,863.55, 5,794.34 and 1,090.06

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Solution

The fourth proportional to 3,863.55, 5,794.34 and 1,090.06 is: 1,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.55 : 5,794.34 = 1,090.06 : x
  2. Step 2: Convert to fraction form
    3,863.55/5,794.34 = 1,090.06/x
  3. Step 3: Cross multiply
    3,863.55x = 5,794.34 × 1,090.06
  4. Step 4: Simplify right side
    3,863.55x = 6,316,158.32
  5. Step 5: Solve for x
    x = 6,316,158.32/3,863.55
  6. Step 6: Final answer
    x = 1,634.81

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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.