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Finding the Fourth Proportional to 4,146.50, 5,722.44 and 2,749.52

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Solution

The fourth proportional to 4,146.50, 5,722.44 and 2,749.52 is: 3,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.50 : 5,722.44 = 2,749.52 : x
  2. Step 2: Convert to fraction form
    4,146.50/5,722.44 = 2,749.52/x
  3. Step 3: Cross multiply
    4,146.50x = 5,722.44 × 2,749.52
  4. Step 4: Simplify right side
    4,146.50x = 15,733,963.23
  5. Step 5: Solve for x
    x = 15,733,963.23/4,146.50
  6. Step 6: Final answer
    x = 3,794.52

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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.