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Finding the Fourth Proportional to 5,938.99, 8,194.88 and 3,421.22

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Solution

The fourth proportional to 5,938.99, 8,194.88 and 3,421.22 is: 4,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.99 : 8,194.88 = 3,421.22 : x
  2. Step 2: Convert to fraction form
    5,938.99/8,194.88 = 3,421.22/x
  3. Step 3: Cross multiply
    5,938.99x = 8,194.88 × 3,421.22
  4. Step 4: Simplify right side
    5,938.99x = 28,036,454.93
  5. Step 5: Solve for x
    x = 28,036,454.93/5,938.99
  6. Step 6: Final answer
    x = 4,720.75

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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.