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Finding the Fourth Proportional to 3,972.81, 5,474.06 and 3,262.26

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Solution

The fourth proportional to 3,972.81, 5,474.06 and 3,262.26 is: 4,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.81 : 5,474.06 = 3,262.26 : x
  2. Step 2: Convert to fraction form
    3,972.81/5,474.06 = 3,262.26/x
  3. Step 3: Cross multiply
    3,972.81x = 5,474.06 × 3,262.26
  4. Step 4: Simplify right side
    3,972.81x = 17,857,823.43
  5. Step 5: Solve for x
    x = 17,857,823.43/3,972.81
  6. Step 6: Final answer
    x = 4,495.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.