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Finding the Fourth Proportional to 3,863.47, 5,794.83 and 1,090.10

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Solution

The fourth proportional to 3,863.47, 5,794.83 and 1,090.10 is: 1,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.47 : 5,794.83 = 1,090.10 : x
  2. Step 2: Convert to fraction form
    3,863.47/5,794.83 = 1,090.10/x
  3. Step 3: Cross multiply
    3,863.47x = 5,794.83 × 1,090.10
  4. Step 4: Simplify right side
    3,863.47x = 6,316,944.18
  5. Step 5: Solve for x
    x = 6,316,944.18/3,863.47
  6. Step 6: Final answer
    x = 1,635.04

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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.