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Finding the Fourth Proportional to 3,542.01, 5,313.09 and 1,076.82

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Solution

The fourth proportional to 3,542.01, 5,313.09 and 1,076.82 is: 1,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.01 : 5,313.09 = 1,076.82 : x
  2. Step 2: Convert to fraction form
    3,542.01/5,313.09 = 1,076.82/x
  3. Step 3: Cross multiply
    3,542.01x = 5,313.09 × 1,076.82
  4. Step 4: Simplify right side
    3,542.01x = 5,721,241.57
  5. Step 5: Solve for x
    x = 5,721,241.57/3,542.01
  6. Step 6: Final answer
    x = 1,615.25

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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.