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Finding the Fourth Proportional to 3,896.61, 5,865.99 and 3,557.62

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Solution

The fourth proportional to 3,896.61, 5,865.99 and 3,557.62 is: 5,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.61 : 5,865.99 = 3,557.62 : x
  2. Step 2: Convert to fraction form
    3,896.61/5,865.99 = 3,557.62/x
  3. Step 3: Cross multiply
    3,896.61x = 5,865.99 × 3,557.62
  4. Step 4: Simplify right side
    3,896.61x = 20,868,957.34
  5. Step 5: Solve for x
    x = 20,868,957.34/3,896.61
  6. Step 6: Final answer
    x = 5,355.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.