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Finding the Fourth Proportional to 5,131.86, 7,693.74 and 2,011.34

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Solution

The fourth proportional to 5,131.86, 7,693.74 and 2,011.34 is: 3,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.86 : 7,693.74 = 2,011.34 : x
  2. Step 2: Convert to fraction form
    5,131.86/7,693.74 = 2,011.34/x
  3. Step 3: Cross multiply
    5,131.86x = 7,693.74 × 2,011.34
  4. Step 4: Simplify right side
    5,131.86x = 15,474,688.54
  5. Step 5: Solve for x
    x = 15,474,688.54/5,131.86
  6. Step 6: Final answer
    x = 3,015.42

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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.