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Finding the Fourth Proportional to 3,908.06, 5,393.16 and 2,139.70

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Solution

The fourth proportional to 3,908.06, 5,393.16 and 2,139.70 is: 2,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.06 : 5,393.16 = 2,139.70 : x
  2. Step 2: Convert to fraction form
    3,908.06/5,393.16 = 2,139.70/x
  3. Step 3: Cross multiply
    3,908.06x = 5,393.16 × 2,139.70
  4. Step 4: Simplify right side
    3,908.06x = 11,539,744.45
  5. Step 5: Solve for x
    x = 11,539,744.45/3,908.06
  6. Step 6: Final answer
    x = 2,952.81

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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.