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Finding the Fourth Proportional to 3,957.68, 5,486.57 and 3,747.01

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Solution

The fourth proportional to 3,957.68, 5,486.57 and 3,747.01 is: 5,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.68 : 5,486.57 = 3,747.01 : x
  2. Step 2: Convert to fraction form
    3,957.68/5,486.57 = 3,747.01/x
  3. Step 3: Cross multiply
    3,957.68x = 5,486.57 × 3,747.01
  4. Step 4: Simplify right side
    3,957.68x = 20,558,232.66
  5. Step 5: Solve for x
    x = 20,558,232.66/3,957.68
  6. Step 6: Final answer
    x = 5,194.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.