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Finding the Fourth Proportional to 5,937.89, 8,194.50 and 3,842.01

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Solution

The fourth proportional to 5,937.89, 8,194.50 and 3,842.01 is: 5,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.89 : 8,194.50 = 3,842.01 : x
  2. Step 2: Convert to fraction form
    5,937.89/8,194.50 = 3,842.01/x
  3. Step 3: Cross multiply
    5,937.89x = 8,194.50 × 3,842.01
  4. Step 4: Simplify right side
    5,937.89x = 31,483,350.95
  5. Step 5: Solve for x
    x = 31,483,350.95/5,937.89
  6. Step 6: Final answer
    x = 5,302.12

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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.