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Finding the Fourth Proportional to 5,364.85, 8,049.49 and 2,896.77

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Solution

The fourth proportional to 5,364.85, 8,049.49 and 2,896.77 is: 4,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.85 : 8,049.49 = 2,896.77 : x
  2. Step 2: Convert to fraction form
    5,364.85/8,049.49 = 2,896.77/x
  3. Step 3: Cross multiply
    5,364.85x = 8,049.49 × 2,896.77
  4. Step 4: Simplify right side
    5,364.85x = 23,317,480.90
  5. Step 5: Solve for x
    x = 23,317,480.90/5,364.85
  6. Step 6: Final answer
    x = 4,346.34

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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.