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Finding the Fourth Proportional to 3,908.37, 5,393.61 and 2,140.14

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Solution

The fourth proportional to 3,908.37, 5,393.61 and 2,140.14 is: 2,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.37 : 5,393.61 = 2,140.14 : x
  2. Step 2: Convert to fraction form
    3,908.37/5,393.61 = 2,140.14/x
  3. Step 3: Cross multiply
    3,908.37x = 5,393.61 × 2,140.14
  4. Step 4: Simplify right side
    3,908.37x = 11,543,080.51
  5. Step 5: Solve for x
    x = 11,543,080.51/3,908.37
  6. Step 6: Final answer
    x = 2,953.43

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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.