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Finding the Fourth Proportional to 4,674.64, 6,450.99 and 2,578.75

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Solution

The fourth proportional to 4,674.64, 6,450.99 and 2,578.75 is: 3,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.64 : 6,450.99 = 2,578.75 : x
  2. Step 2: Convert to fraction form
    4,674.64/6,450.99 = 2,578.75/x
  3. Step 3: Cross multiply
    4,674.64x = 6,450.99 × 2,578.75
  4. Step 4: Simplify right side
    4,674.64x = 16,635,490.46
  5. Step 5: Solve for x
    x = 16,635,490.46/4,674.64
  6. Step 6: Final answer
    x = 3,558.67

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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.