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Finding the Fourth Proportional to 3,966, 5,472.84 and 2,173.47

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Solution

The fourth proportional to 3,966, 5,472.84 and 2,173.47 is: 2,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,472.84 = 2,173.47 : x
  2. Step 2: Convert to fraction form
    3,966/5,472.84 = 2,173.47/x
  3. Step 3: Cross multiply
    3,966x = 5,472.84 × 2,173.47
  4. Step 4: Simplify right side
    3,966x = 11,895,053.55
  5. Step 5: Solve for x
    x = 11,895,053.55/3,966
  6. Step 6: Final answer
    x = 2,999.26

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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.