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Finding the Fourth Proportional to 5,828.40, 8,043.12 and 3,241.26

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Solution

The fourth proportional to 5,828.40, 8,043.12 and 3,241.26 is: 4,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.40 : 8,043.12 = 3,241.26 : x
  2. Step 2: Convert to fraction form
    5,828.40/8,043.12 = 3,241.26/x
  3. Step 3: Cross multiply
    5,828.40x = 8,043.12 × 3,241.26
  4. Step 4: Simplify right side
    5,828.40x = 26,069,843.13
  5. Step 5: Solve for x
    x = 26,069,843.13/5,828.40
  6. Step 6: Final answer
    x = 4,472.90

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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.