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Finding the Fourth Proportional to 5,692.73, 7,856.01 and 3,175.00

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Solution

The fourth proportional to 5,692.73, 7,856.01 and 3,175.00 is: 4,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.73 : 7,856.01 = 3,175.00 : x
  2. Step 2: Convert to fraction form
    5,692.73/7,856.01 = 3,175.00/x
  3. Step 3: Cross multiply
    5,692.73x = 7,856.01 × 3,175.00
  4. Step 4: Simplify right side
    5,692.73x = 24,942,776.59
  5. Step 5: Solve for x
    x = 24,942,776.59/5,692.73
  6. Step 6: Final answer
    x = 4,381.52

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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.