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Finding the Fourth Proportional to 3,909.64, 5,395.34 and 2,141.41

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Solution

The fourth proportional to 3,909.64, 5,395.34 and 2,141.41 is: 2,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.64 : 5,395.34 = 2,141.41 : x
  2. Step 2: Convert to fraction form
    3,909.64/5,395.34 = 2,141.41/x
  3. Step 3: Cross multiply
    3,909.64x = 5,395.34 × 2,141.41
  4. Step 4: Simplify right side
    3,909.64x = 11,553,635.03
  5. Step 5: Solve for x
    x = 11,553,635.03/3,909.64
  6. Step 6: Final answer
    x = 2,955.17

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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.