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Finding the Fourth Proportional to 4,801.50, 7,205.09 and 2,027.99

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Solution

The fourth proportional to 4,801.50, 7,205.09 and 2,027.99 is: 3,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.50 : 7,205.09 = 2,027.99 : x
  2. Step 2: Convert to fraction form
    4,801.50/7,205.09 = 2,027.99/x
  3. Step 3: Cross multiply
    4,801.50x = 7,205.09 × 2,027.99
  4. Step 4: Simplify right side
    4,801.50x = 14,611,858.34
  5. Step 5: Solve for x
    x = 14,611,858.34/4,801.50
  6. Step 6: Final answer
    x = 3,043.19

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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.