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Finding the Fourth Proportional to 3,885.38, 5,826.53 and 1,692.58

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Solution

The fourth proportional to 3,885.38, 5,826.53 and 1,692.58 is: 2,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.38 : 5,826.53 = 1,692.58 : x
  2. Step 2: Convert to fraction form
    3,885.38/5,826.53 = 1,692.58/x
  3. Step 3: Cross multiply
    3,885.38x = 5,826.53 × 1,692.58
  4. Step 4: Simplify right side
    3,885.38x = 9,861,839.01
  5. Step 5: Solve for x
    x = 9,861,839.01/3,885.38
  6. Step 6: Final answer
    x = 2,538.19

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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.