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Finding the Fourth Proportional to 6,450.88, 8,904.09 and 4,213.08

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Solution

The fourth proportional to 6,450.88, 8,904.09 and 4,213.08 is: 5,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.88 : 8,904.09 = 4,213.08 : x
  2. Step 2: Convert to fraction form
    6,450.88/8,904.09 = 4,213.08/x
  3. Step 3: Cross multiply
    6,450.88x = 8,904.09 × 4,213.08
  4. Step 4: Simplify right side
    6,450.88x = 37,513,692.69
  5. Step 5: Solve for x
    x = 37,513,692.69/6,450.88
  6. Step 6: Final answer
    x = 5,815.29

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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.