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Finding the Fourth Proportional to 5,161.89, 7,123.16 and 2,923.78

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Solution

The fourth proportional to 5,161.89, 7,123.16 and 2,923.78 is: 4,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.89 : 7,123.16 = 2,923.78 : x
  2. Step 2: Convert to fraction form
    5,161.89/7,123.16 = 2,923.78/x
  3. Step 3: Cross multiply
    5,161.89x = 7,123.16 × 2,923.78
  4. Step 4: Simplify right side
    5,161.89x = 20,826,542.25
  5. Step 5: Solve for x
    x = 20,826,542.25/5,161.89
  6. Step 6: Final answer
    x = 4,034.67

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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.