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Finding the Fourth Proportional to 3,835.70, 5,753.55 and 3,425.30

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Solution

The fourth proportional to 3,835.70, 5,753.55 and 3,425.30 is: 5,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.70 : 5,753.55 = 3,425.30 : x
  2. Step 2: Convert to fraction form
    3,835.70/5,753.55 = 3,425.30/x
  3. Step 3: Cross multiply
    3,835.70x = 5,753.55 × 3,425.30
  4. Step 4: Simplify right side
    3,835.70x = 19,707,634.82
  5. Step 5: Solve for x
    x = 19,707,634.82/3,835.70
  6. Step 6: Final answer
    x = 5,137.95

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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.