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Finding the Fourth Proportional to 3,800.75, 5,215.03 and 3,591.77

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Solution

The fourth proportional to 3,800.75, 5,215.03 and 3,591.77 is: 4,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.75 : 5,215.03 = 3,591.77 : x
  2. Step 2: Convert to fraction form
    3,800.75/5,215.03 = 3,591.77/x
  3. Step 3: Cross multiply
    3,800.75x = 5,215.03 × 3,591.77
  4. Step 4: Simplify right side
    3,800.75x = 18,731,153.25
  5. Step 5: Solve for x
    x = 18,731,153.25/3,800.75
  6. Step 6: Final answer
    x = 4,928.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.