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Finding the Fourth Proportional to 3,494.46, 5,237.49 and 1,544.46

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Solution

The fourth proportional to 3,494.46, 5,237.49 and 1,544.46 is: 2,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.46 : 5,237.49 = 1,544.46 : x
  2. Step 2: Convert to fraction form
    3,494.46/5,237.49 = 1,544.46/x
  3. Step 3: Cross multiply
    3,494.46x = 5,237.49 × 1,544.46
  4. Step 4: Simplify right side
    3,494.46x = 8,089,093.81
  5. Step 5: Solve for x
    x = 8,089,093.81/3,494.46
  6. Step 6: Final answer
    x = 2,314.83

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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.