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Finding the Fourth Proportional to 3,199.50, 4,416.53 and 2,749.55

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Solution

The fourth proportional to 3,199.50, 4,416.53 and 2,749.55 is: 3,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.50 : 4,416.53 = 2,749.55 : x
  2. Step 2: Convert to fraction form
    3,199.50/4,416.53 = 2,749.55/x
  3. Step 3: Cross multiply
    3,199.50x = 4,416.53 × 2,749.55
  4. Step 4: Simplify right side
    3,199.50x = 12,143,434.23
  5. Step 5: Solve for x
    x = 12,143,434.23/3,199.50
  6. Step 6: Final answer
    x = 3,795.42

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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.