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Finding the Fourth Proportional to 3,909.67, 5,395.28 and 2,141.27

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Solution

The fourth proportional to 3,909.67, 5,395.28 and 2,141.27 is: 2,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.67 : 5,395.28 = 2,141.27 : x
  2. Step 2: Convert to fraction form
    3,909.67/5,395.28 = 2,141.27/x
  3. Step 3: Cross multiply
    3,909.67x = 5,395.28 × 2,141.27
  4. Step 4: Simplify right side
    3,909.67x = 11,552,733.76
  5. Step 5: Solve for x
    x = 11,552,733.76/3,909.67
  6. Step 6: Final answer
    x = 2,954.91

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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.