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Finding the Fourth Proportional to 3,908.76, 5,394.09 and 2,140.36

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Solution

The fourth proportional to 3,908.76, 5,394.09 and 2,140.36 is: 2,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.76 : 5,394.09 = 2,140.36 : x
  2. Step 2: Convert to fraction form
    3,908.76/5,394.09 = 2,140.36/x
  3. Step 3: Cross multiply
    3,908.76x = 5,394.09 × 2,140.36
  4. Step 4: Simplify right side
    3,908.76x = 11,545,294.47
  5. Step 5: Solve for x
    x = 11,545,294.47/3,908.76
  6. Step 6: Final answer
    x = 2,953.70

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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.