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Finding the Fourth Proportional to 3,400.09, 5,096.62 and 1,426.86

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Solution

The fourth proportional to 3,400.09, 5,096.62 and 1,426.86 is: 2,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.09 : 5,096.62 = 1,426.86 : x
  2. Step 2: Convert to fraction form
    3,400.09/5,096.62 = 1,426.86/x
  3. Step 3: Cross multiply
    3,400.09x = 5,096.62 × 1,426.86
  4. Step 4: Simplify right side
    3,400.09x = 7,272,156.08
  5. Step 5: Solve for x
    x = 7,272,156.08/3,400.09
  6. Step 6: Final answer
    x = 2,138.82

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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.