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Finding the Fourth Proportional to 3,838.60, 5,291.31 and 3,211.21

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Solution

The fourth proportional to 3,838.60, 5,291.31 and 3,211.21 is: 4,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.60 : 5,291.31 = 3,211.21 : x
  2. Step 2: Convert to fraction form
    3,838.60/5,291.31 = 3,211.21/x
  3. Step 3: Cross multiply
    3,838.60x = 5,291.31 × 3,211.21
  4. Step 4: Simplify right side
    3,838.60x = 16,991,507.59
  5. Step 5: Solve for x
    x = 16,991,507.59/3,838.60
  6. Step 6: Final answer
    x = 4,426.49

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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.