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Finding the Fourth Proportional to 6,450.29, 8,899.85 and 4,091.57

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Solution

The fourth proportional to 6,450.29, 8,899.85 and 4,091.57 is: 5,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.29 : 8,899.85 = 4,091.57 : x
  2. Step 2: Convert to fraction form
    6,450.29/8,899.85 = 4,091.57/x
  3. Step 3: Cross multiply
    6,450.29x = 8,899.85 × 4,091.57
  4. Step 4: Simplify right side
    6,450.29x = 36,414,338.81
  5. Step 5: Solve for x
    x = 36,414,338.81/6,450.29
  6. Step 6: Final answer
    x = 5,645.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.