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Finding the Fourth Proportional to 5,891.60, 8,130.46 and 3,202.83

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Solution

The fourth proportional to 5,891.60, 8,130.46 and 3,202.83 is: 4,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.60 : 8,130.46 = 3,202.83 : x
  2. Step 2: Convert to fraction form
    5,891.60/8,130.46 = 3,202.83/x
  3. Step 3: Cross multiply
    5,891.60x = 8,130.46 × 3,202.83
  4. Step 4: Simplify right side
    5,891.60x = 26,040,481.20
  5. Step 5: Solve for x
    x = 26,040,481.20/5,891.60
  6. Step 6: Final answer
    x = 4,419.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.