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Finding the Fourth Proportional to 4,561.32, 6,849.24 and 3,450.84

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Solution

The fourth proportional to 4,561.32, 6,849.24 and 3,450.84 is: 5,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.32 : 6,849.24 = 3,450.84 : x
  2. Step 2: Convert to fraction form
    4,561.32/6,849.24 = 3,450.84/x
  3. Step 3: Cross multiply
    4,561.32x = 6,849.24 × 3,450.84
  4. Step 4: Simplify right side
    4,561.32x = 23,635,631.36
  5. Step 5: Solve for x
    x = 23,635,631.36/4,561.32
  6. Step 6: Final answer
    x = 5,181.75

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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.