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Finding the Fourth Proportional to 3,795, 5,692.50 and 1,059

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Solution

The fourth proportional to 3,795, 5,692.50 and 1,059 is: 1,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795 : 5,692.50 = 1,059 : x
  2. Step 2: Convert to fraction form
    3,795/5,692.50 = 1,059/x
  3. Step 3: Cross multiply
    3,795x = 5,692.50 × 1,059
  4. Step 4: Simplify right side
    3,795x = 6,028,357.50
  5. Step 5: Solve for x
    x = 6,028,357.50/3,795
  6. Step 6: Final answer
    x = 1,588.50

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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.