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Finding the Fourth Proportional to 3,759.75, 5,189.67 and 2,362.50

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Solution

The fourth proportional to 3,759.75, 5,189.67 and 2,362.50 is: 3,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.75 : 5,189.67 = 2,362.50 : x
  2. Step 2: Convert to fraction form
    3,759.75/5,189.67 = 2,362.50/x
  3. Step 3: Cross multiply
    3,759.75x = 5,189.67 × 2,362.50
  4. Step 4: Simplify right side
    3,759.75x = 12,260,595.38
  5. Step 5: Solve for x
    x = 12,260,595.38/3,759.75
  6. Step 6: Final answer
    x = 3,261.01

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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.