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Finding the Fourth Proportional to 3,692.81, 5,541.95 and 1,745.48

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Solution

The fourth proportional to 3,692.81, 5,541.95 and 1,745.48 is: 2,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.81 : 5,541.95 = 1,745.48 : x
  2. Step 2: Convert to fraction form
    3,692.81/5,541.95 = 1,745.48/x
  3. Step 3: Cross multiply
    3,692.81x = 5,541.95 × 1,745.48
  4. Step 4: Simplify right side
    3,692.81x = 9,673,381.10
  5. Step 5: Solve for x
    x = 9,673,381.10/3,692.81
  6. Step 6: Final answer
    x = 2,619.52

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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.