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Finding the Fourth Proportional to 3,908.91, 5,394.35 and 2,140.47

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Solution

The fourth proportional to 3,908.91, 5,394.35 and 2,140.47 is: 2,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.91 : 5,394.35 = 2,140.47 : x
  2. Step 2: Convert to fraction form
    3,908.91/5,394.35 = 2,140.47/x
  3. Step 3: Cross multiply
    3,908.91x = 5,394.35 × 2,140.47
  4. Step 4: Simplify right side
    3,908.91x = 11,546,433.64
  5. Step 5: Solve for x
    x = 11,546,433.64/3,908.91
  6. Step 6: Final answer
    x = 2,953.88

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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.