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Finding the Fourth Proportional to 3,908.71, 5,393.82 and 2,140.21

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Solution

The fourth proportional to 3,908.71, 5,393.82 and 2,140.21 is: 2,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.71 : 5,393.82 = 2,140.21 : x
  2. Step 2: Convert to fraction form
    3,908.71/5,393.82 = 2,140.21/x
  3. Step 3: Cross multiply
    3,908.71x = 5,393.82 × 2,140.21
  4. Step 4: Simplify right side
    3,908.71x = 11,543,907.50
  5. Step 5: Solve for x
    x = 11,543,907.50/3,908.71
  6. Step 6: Final answer
    x = 2,953.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.