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Finding the Fourth Proportional to 3,692.69, 5,537.41 and 1,382.57

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Solution

The fourth proportional to 3,692.69, 5,537.41 and 1,382.57 is: 2,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.69 : 5,537.41 = 1,382.57 : x
  2. Step 2: Convert to fraction form
    3,692.69/5,537.41 = 1,382.57/x
  3. Step 3: Cross multiply
    3,692.69x = 5,537.41 × 1,382.57
  4. Step 4: Simplify right side
    3,692.69x = 7,655,822.34
  5. Step 5: Solve for x
    x = 7,655,822.34/3,692.69
  6. Step 6: Final answer
    x = 2,073.24

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1.5x scale

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.