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Finding the Fourth Proportional to 4,493.64, 6,204.42 and 3,749.52

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Solution

The fourth proportional to 4,493.64, 6,204.42 and 3,749.52 is: 5,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.64 : 6,204.42 = 3,749.52 : x
  2. Step 2: Convert to fraction form
    4,493.64/6,204.42 = 3,749.52/x
  3. Step 3: Cross multiply
    4,493.64x = 6,204.42 × 3,749.52
  4. Step 4: Simplify right side
    4,493.64x = 23,263,596.88
  5. Step 5: Solve for x
    x = 23,263,596.88/4,493.64
  6. Step 6: Final answer
    x = 5,177.01

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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.