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Finding the Fourth Proportional to 5,725.63, 7,901.37 and 3,241.63

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Solution

The fourth proportional to 5,725.63, 7,901.37 and 3,241.63 is: 4,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.63 : 7,901.37 = 3,241.63 : x
  2. Step 2: Convert to fraction form
    5,725.63/7,901.37 = 3,241.63/x
  3. Step 3: Cross multiply
    5,725.63x = 7,901.37 × 3,241.63
  4. Step 4: Simplify right side
    5,725.63x = 25,613,262.32
  5. Step 5: Solve for x
    x = 25,613,262.32/5,725.63
  6. Step 6: Final answer
    x = 4,473.44

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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.