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Finding the Fourth Proportional to 3,586.84, 5,366.22 and 3,171.28

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Solution

The fourth proportional to 3,586.84, 5,366.22 and 3,171.28 is: 4,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.84 : 5,366.22 = 3,171.28 : x
  2. Step 2: Convert to fraction form
    3,586.84/5,366.22 = 3,171.28/x
  3. Step 3: Cross multiply
    3,586.84x = 5,366.22 × 3,171.28
  4. Step 4: Simplify right side
    3,586.84x = 17,017,786.16
  5. Step 5: Solve for x
    x = 17,017,786.16/3,586.84
  6. Step 6: Final answer
    x = 4,744.51

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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.