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Finding the Fourth Proportional to 5,857.85, 8,083.46 and 3,340.24

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Solution

The fourth proportional to 5,857.85, 8,083.46 and 3,340.24 is: 4,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.85 : 8,083.46 = 3,340.24 : x
  2. Step 2: Convert to fraction form
    5,857.85/8,083.46 = 3,340.24/x
  3. Step 3: Cross multiply
    5,857.85x = 8,083.46 × 3,340.24
  4. Step 4: Simplify right side
    5,857.85x = 27,000,639.31
  5. Step 5: Solve for x
    x = 27,000,639.31/5,857.85
  6. Step 6: Final answer
    x = 4,609.31

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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.