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Finding the Fourth Proportional to 3,172.37, 4,377.78 and 1,914.48

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Solution

The fourth proportional to 3,172.37, 4,377.78 and 1,914.48 is: 2,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.37 : 4,377.78 = 1,914.48 : x
  2. Step 2: Convert to fraction form
    3,172.37/4,377.78 = 1,914.48/x
  3. Step 3: Cross multiply
    3,172.37x = 4,377.78 × 1,914.48
  4. Step 4: Simplify right side
    3,172.37x = 8,381,172.25
  5. Step 5: Solve for x
    x = 8,381,172.25/3,172.37
  6. Step 6: Final answer
    x = 2,641.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.