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Finding the Fourth Proportional to 3,701, 5,549.34 and 1,234.46

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Solution

The fourth proportional to 3,701, 5,549.34 and 1,234.46 is: 1,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701 : 5,549.34 = 1,234.46 : x
  2. Step 2: Convert to fraction form
    3,701/5,549.34 = 1,234.46/x
  3. Step 3: Cross multiply
    3,701x = 5,549.34 × 1,234.46
  4. Step 4: Simplify right side
    3,701x = 6,850,438.26
  5. Step 5: Solve for x
    x = 6,850,438.26/3,701
  6. Step 6: Final answer
    x = 1,850.97

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Why These Related Problems?

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