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Finding the Fourth Proportional to 5,749.90, 7,934.97 and 4,492.42

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Solution

The fourth proportional to 5,749.90, 7,934.97 and 4,492.42 is: 6,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.90 : 7,934.97 = 4,492.42 : x
  2. Step 2: Convert to fraction form
    5,749.90/7,934.97 = 4,492.42/x
  3. Step 3: Cross multiply
    5,749.90x = 7,934.97 × 4,492.42
  4. Step 4: Simplify right side
    5,749.90x = 35,647,214.94
  5. Step 5: Solve for x
    x = 35,647,214.94/5,749.90
  6. Step 6: Final answer
    x = 6,199.63

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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.