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Finding the Fourth Proportional to 5,199.37, 7,180.37 and 3,311.80

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Solution

The fourth proportional to 5,199.37, 7,180.37 and 3,311.80 is: 4,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.37 : 7,180.37 = 3,311.80 : x
  2. Step 2: Convert to fraction form
    5,199.37/7,180.37 = 3,311.80/x
  3. Step 3: Cross multiply
    5,199.37x = 7,180.37 × 3,311.80
  4. Step 4: Simplify right side
    5,199.37x = 23,779,927.28
  5. Step 5: Solve for x
    x = 23,779,927.28/5,199.37
  6. Step 6: Final answer
    x = 4,573.62

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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.