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Finding the Fourth Proportional to 5,739.89, 7,914.53 and 5,180.18

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Solution

The fourth proportional to 5,739.89, 7,914.53 and 5,180.18 is: 7,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.89 : 7,914.53 = 5,180.18 : x
  2. Step 2: Convert to fraction form
    5,739.89/7,914.53 = 5,180.18/x
  3. Step 3: Cross multiply
    5,739.89x = 7,914.53 × 5,180.18
  4. Step 4: Simplify right side
    5,739.89x = 40,998,664.11
  5. Step 5: Solve for x
    x = 40,998,664.11/5,739.89
  6. Step 6: Final answer
    x = 7,142.76

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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.