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Finding the Fourth Proportional to 3,462.66, 5,193.92 and 2,076.38

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Solution

The fourth proportional to 3,462.66, 5,193.92 and 2,076.38 is: 3,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.66 : 5,193.92 = 2,076.38 : x
  2. Step 2: Convert to fraction form
    3,462.66/5,193.92 = 2,076.38/x
  3. Step 3: Cross multiply
    3,462.66x = 5,193.92 × 2,076.38
  4. Step 4: Simplify right side
    3,462.66x = 10,784,550.31
  5. Step 5: Solve for x
    x = 10,784,550.31/3,462.66
  6. Step 6: Final answer
    x = 3,114.53

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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.