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Finding the Fourth Proportional to 3,957.06, 5,906.59 and 3,489.98

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Solution

The fourth proportional to 3,957.06, 5,906.59 and 3,489.98 is: 5,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.06 : 5,906.59 = 3,489.98 : x
  2. Step 2: Convert to fraction form
    3,957.06/5,906.59 = 3,489.98/x
  3. Step 3: Cross multiply
    3,957.06x = 5,906.59 × 3,489.98
  4. Step 4: Simplify right side
    3,957.06x = 20,613,880.97
  5. Step 5: Solve for x
    x = 20,613,880.97/3,957.06
  6. Step 6: Final answer
    x = 5,209.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.