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Finding the Fourth Proportional to 5,235.94, 7,856.07 and 2,639.62

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Solution

The fourth proportional to 5,235.94, 7,856.07 and 2,639.62 is: 3,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.94 : 7,856.07 = 2,639.62 : x
  2. Step 2: Convert to fraction form
    5,235.94/7,856.07 = 2,639.62/x
  3. Step 3: Cross multiply
    5,235.94x = 7,856.07 × 2,639.62
  4. Step 4: Simplify right side
    5,235.94x = 20,737,039.49
  5. Step 5: Solve for x
    x = 20,737,039.49/5,235.94
  6. Step 6: Final answer
    x = 3,960.52

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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.