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Finding the Fourth Proportional to 5,880, 8,114.36 and 3,227.35

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Solution

The fourth proportional to 5,880, 8,114.36 and 3,227.35 is: 4,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 8,114.36 = 3,227.35 : x
  2. Step 2: Convert to fraction form
    5,880/8,114.36 = 3,227.35/x
  3. Step 3: Cross multiply
    5,880x = 8,114.36 × 3,227.35
  4. Step 4: Simplify right side
    5,880x = 26,187,879.75
  5. Step 5: Solve for x
    x = 26,187,879.75/5,880
  6. Step 6: Final answer
    x = 4,453.72

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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.