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Finding the Fourth Proportional to 4,191.98, 5,756.33 and 3,749.72

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Solution

The fourth proportional to 4,191.98, 5,756.33 and 3,749.72 is: 5,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.98 : 5,756.33 = 3,749.72 : x
  2. Step 2: Convert to fraction form
    4,191.98/5,756.33 = 3,749.72/x
  3. Step 3: Cross multiply
    4,191.98x = 5,756.33 × 3,749.72
  4. Step 4: Simplify right side
    4,191.98x = 21,584,578.20
  5. Step 5: Solve for x
    x = 21,584,578.20/4,191.98
  6. Step 6: Final answer
    x = 5,149.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.