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Finding the Fourth Proportional to 3,468.42, 5,196.33 and 2,004.48

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Solution

The fourth proportional to 3,468.42, 5,196.33 and 2,004.48 is: 3,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.42 : 5,196.33 = 2,004.48 : x
  2. Step 2: Convert to fraction form
    3,468.42/5,196.33 = 2,004.48/x
  3. Step 3: Cross multiply
    3,468.42x = 5,196.33 × 2,004.48
  4. Step 4: Simplify right side
    3,468.42x = 10,415,939.56
  5. Step 5: Solve for x
    x = 10,415,939.56/3,468.42
  6. Step 6: Final answer
    x = 3,003.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.