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Finding the Fourth Proportional to 3,692.71, 5,537.45 and 1,382.59

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Solution

The fourth proportional to 3,692.71, 5,537.45 and 1,382.59 is: 2,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.71 : 5,537.45 = 1,382.59 : x
  2. Step 2: Convert to fraction form
    3,692.71/5,537.45 = 1,382.59/x
  3. Step 3: Cross multiply
    3,692.71x = 5,537.45 × 1,382.59
  4. Step 4: Simplify right side
    3,692.71x = 7,656,043.76
  5. Step 5: Solve for x
    x = 7,656,043.76/3,692.71
  6. Step 6: Final answer
    x = 2,073.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.