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Finding the Fourth Proportional to 3,826.64, 5,728.62 and 2,090

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Solution

The fourth proportional to 3,826.64, 5,728.62 and 2,090 is: 3,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.64 : 5,728.62 = 2,090 : x
  2. Step 2: Convert to fraction form
    3,826.64/5,728.62 = 2,090/x
  3. Step 3: Cross multiply
    3,826.64x = 5,728.62 × 2,090
  4. Step 4: Simplify right side
    3,826.64x = 11,972,815.80
  5. Step 5: Solve for x
    x = 11,972,815.80/3,826.64
  6. Step 6: Final answer
    x = 3,128.81

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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.