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Finding the Fourth Proportional to 4,843.50, 7,267.88 and 3,750

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Solution

The fourth proportional to 4,843.50, 7,267.88 and 3,750 is: 5,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.50 : 7,267.88 = 3,750 : x
  2. Step 2: Convert to fraction form
    4,843.50/7,267.88 = 3,750/x
  3. Step 3: Cross multiply
    4,843.50x = 7,267.88 × 3,750
  4. Step 4: Simplify right side
    4,843.50x = 27,254,531.25
  5. Step 5: Solve for x
    x = 27,254,531.25/4,843.50
  6. Step 6: Final answer
    x = 5,627.03

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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.