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Finding the Fourth Proportional to 3,405.42, 5,110.29 and 1,846.49

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Solution

The fourth proportional to 3,405.42, 5,110.29 and 1,846.49 is: 2,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.42 : 5,110.29 = 1,846.49 : x
  2. Step 2: Convert to fraction form
    3,405.42/5,110.29 = 1,846.49/x
  3. Step 3: Cross multiply
    3,405.42x = 5,110.29 × 1,846.49
  4. Step 4: Simplify right side
    3,405.42x = 9,436,073.83
  5. Step 5: Solve for x
    x = 9,436,073.83/3,405.42
  6. Step 6: Final answer
    x = 2,770.90

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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.