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Finding the Fourth Proportional to 4,566.33, 6,847.23 and 2,099.07

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Solution

The fourth proportional to 4,566.33, 6,847.23 and 2,099.07 is: 3,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.33 : 6,847.23 = 2,099.07 : x
  2. Step 2: Convert to fraction form
    4,566.33/6,847.23 = 2,099.07/x
  3. Step 3: Cross multiply
    4,566.33x = 6,847.23 × 2,099.07
  4. Step 4: Simplify right side
    4,566.33x = 14,372,815.08
  5. Step 5: Solve for x
    x = 14,372,815.08/4,566.33
  6. Step 6: Final answer
    x = 3,147.56

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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.