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Finding the Fourth Proportional to 3,695, 5,542.52 and 959

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Solution

The fourth proportional to 3,695, 5,542.52 and 959 is: 1,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695 : 5,542.52 = 959 : x
  2. Step 2: Convert to fraction form
    3,695/5,542.52 = 959/x
  3. Step 3: Cross multiply
    3,695x = 5,542.52 × 959
  4. Step 4: Simplify right side
    3,695x = 5,315,276.68
  5. Step 5: Solve for x
    x = 5,315,276.68/3,695
  6. Step 6: Final answer
    x = 1,438.51

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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.