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Finding the Fourth Proportional to 3,426.42, 5,142 and 1,346.41

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Solution

The fourth proportional to 3,426.42, 5,142 and 1,346.41 is: 2,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.42 : 5,142 = 1,346.41 : x
  2. Step 2: Convert to fraction form
    3,426.42/5,142 = 1,346.41/x
  3. Step 3: Cross multiply
    3,426.42x = 5,142 × 1,346.41
  4. Step 4: Simplify right side
    3,426.42x = 6,923,240.22
  5. Step 5: Solve for x
    x = 6,923,240.22/3,426.42
  6. Step 6: Final answer
    x = 2,020.55

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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.