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Finding the Fourth Proportional to 3,972.48, 5,961.09 and 1,507.62

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Solution

The fourth proportional to 3,972.48, 5,961.09 and 1,507.62 is: 2,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.48 : 5,961.09 = 1,507.62 : x
  2. Step 2: Convert to fraction form
    3,972.48/5,961.09 = 1,507.62/x
  3. Step 3: Cross multiply
    3,972.48x = 5,961.09 × 1,507.62
  4. Step 4: Simplify right side
    3,972.48x = 8,987,058.51
  5. Step 5: Solve for x
    x = 8,987,058.51/3,972.48
  6. Step 6: Final answer
    x = 2,262.33

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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.