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Finding the Fourth Proportional to 3,972.36, 5,960.11 and 1,507.84

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Solution

The fourth proportional to 3,972.36, 5,960.11 and 1,507.84 is: 2,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.36 : 5,960.11 = 1,507.84 : x
  2. Step 2: Convert to fraction form
    3,972.36/5,960.11 = 1,507.84/x
  3. Step 3: Cross multiply
    3,972.36x = 5,960.11 × 1,507.84
  4. Step 4: Simplify right side
    3,972.36x = 8,986,879.25
  5. Step 5: Solve for x
    x = 8,986,879.25/3,972.36
  6. Step 6: Final answer
    x = 2,262.35

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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.