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Finding the Fourth Proportional to 3,931.64, 5,425.72 and 2,163.28

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Solution

The fourth proportional to 3,931.64, 5,425.72 and 2,163.28 is: 2,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.64 : 5,425.72 = 2,163.28 : x
  2. Step 2: Convert to fraction form
    3,931.64/5,425.72 = 2,163.28/x
  3. Step 3: Cross multiply
    3,931.64x = 5,425.72 × 2,163.28
  4. Step 4: Simplify right side
    3,931.64x = 11,737,351.56
  5. Step 5: Solve for x
    x = 11,737,351.56/3,931.64
  6. Step 6: Final answer
    x = 2,985.36

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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.