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Finding the Fourth Proportional to 5,938.76, 8,191.92 and 3,922.19

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Solution

The fourth proportional to 5,938.76, 8,191.92 and 3,922.19 is: 5,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.76 : 8,191.92 = 3,922.19 : x
  2. Step 2: Convert to fraction form
    5,938.76/8,191.92 = 3,922.19/x
  3. Step 3: Cross multiply
    5,938.76x = 8,191.92 × 3,922.19
  4. Step 4: Simplify right side
    5,938.76x = 32,130,266.70
  5. Step 5: Solve for x
    x = 32,130,266.70/5,938.76
  6. Step 6: Final answer
    x = 5,410.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.