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Finding the Fourth Proportional to 3,241.88, 4,858.71 and 2,071.43

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Solution

The fourth proportional to 3,241.88, 4,858.71 and 2,071.43 is: 3,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.88 : 4,858.71 = 2,071.43 : x
  2. Step 2: Convert to fraction form
    3,241.88/4,858.71 = 2,071.43/x
  3. Step 3: Cross multiply
    3,241.88x = 4,858.71 × 2,071.43
  4. Step 4: Simplify right side
    3,241.88x = 10,064,453.36
  5. Step 5: Solve for x
    x = 10,064,453.36/3,241.88
  6. Step 6: Final answer
    x = 3,104.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.