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Finding the Fourth Proportional to 3,908.64, 5,393.97 and 2,140.23

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Solution

The fourth proportional to 3,908.64, 5,393.97 and 2,140.23 is: 2,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.64 : 5,393.97 = 2,140.23 : x
  2. Step 2: Convert to fraction form
    3,908.64/5,393.97 = 2,140.23/x
  3. Step 3: Cross multiply
    3,908.64x = 5,393.97 × 2,140.23
  4. Step 4: Simplify right side
    3,908.64x = 11,544,336.41
  5. Step 5: Solve for x
    x = 11,544,336.41/3,908.64
  6. Step 6: Final answer
    x = 2,953.54

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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.