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Finding the Fourth Proportional to 3,817.50, 5,725.44 and 3,091.20

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Solution

The fourth proportional to 3,817.50, 5,725.44 and 3,091.20 is: 4,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.50 : 5,725.44 = 3,091.20 : x
  2. Step 2: Convert to fraction form
    3,817.50/5,725.44 = 3,091.20/x
  3. Step 3: Cross multiply
    3,817.50x = 5,725.44 × 3,091.20
  4. Step 4: Simplify right side
    3,817.50x = 17,698,480.13
  5. Step 5: Solve for x
    x = 17,698,480.13/3,817.50
  6. Step 6: Final answer
    x = 4,636.14

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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.