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Finding the Fourth Proportional to 3,692.75, 5,539.13 and 956.75

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Solution

The fourth proportional to 3,692.75, 5,539.13 and 956.75 is: 1,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.75 : 5,539.13 = 956.75 : x
  2. Step 2: Convert to fraction form
    3,692.75/5,539.13 = 956.75/x
  3. Step 3: Cross multiply
    3,692.75x = 5,539.13 × 956.75
  4. Step 4: Simplify right side
    3,692.75x = 5,299,557.84
  5. Step 5: Solve for x
    x = 5,299,557.84/3,692.75
  6. Step 6: Final answer
    x = 1,435.13

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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.