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Finding the Fourth Proportional to 3,750.50, 5,175.70 and 2,094.50

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Solution

The fourth proportional to 3,750.50, 5,175.70 and 2,094.50 is: 2,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.50 : 5,175.70 = 2,094.50 : x
  2. Step 2: Convert to fraction form
    3,750.50/5,175.70 = 2,094.50/x
  3. Step 3: Cross multiply
    3,750.50x = 5,175.70 × 2,094.50
  4. Step 4: Simplify right side
    3,750.50x = 10,840,503.65
  5. Step 5: Solve for x
    x = 10,840,503.65/3,750.50
  6. Step 6: Final answer
    x = 2,890.42

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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.