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Finding the Fourth Proportional to 3,757.50, 5,185.60 and 2,185.60

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Solution

The fourth proportional to 3,757.50, 5,185.60 and 2,185.60 is: 3,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.50 : 5,185.60 = 2,185.60 : x
  2. Step 2: Convert to fraction form
    3,757.50/5,185.60 = 2,185.60/x
  3. Step 3: Cross multiply
    3,757.50x = 5,185.60 × 2,185.60
  4. Step 4: Simplify right side
    3,757.50x = 11,333,647.36
  5. Step 5: Solve for x
    x = 11,333,647.36/3,757.50
  6. Step 6: Final answer
    x = 3,016.27

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1.5x scale

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.