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Finding the Fourth Proportional to 3,426.45, 5,138.45 and 1,234.59

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Solution

The fourth proportional to 3,426.45, 5,138.45 and 1,234.59 is: 1,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.45 : 5,138.45 = 1,234.59 : x
  2. Step 2: Convert to fraction form
    3,426.45/5,138.45 = 1,234.59/x
  3. Step 3: Cross multiply
    3,426.45x = 5,138.45 × 1,234.59
  4. Step 4: Simplify right side
    3,426.45x = 6,343,872.81
  5. Step 5: Solve for x
    x = 6,343,872.81/3,426.45
  6. Step 6: Final answer
    x = 1,851.44

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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.