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Finding the Fourth Proportional to 3,973.25, 5,960.73 and 1,508.09

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Solution

The fourth proportional to 3,973.25, 5,960.73 and 1,508.09 is: 2,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.25 : 5,960.73 = 1,508.09 : x
  2. Step 2: Convert to fraction form
    3,973.25/5,960.73 = 1,508.09/x
  3. Step 3: Cross multiply
    3,973.25x = 5,960.73 × 1,508.09
  4. Step 4: Simplify right side
    3,973.25x = 8,989,317.31
  5. Step 5: Solve for x
    x = 8,989,317.31/3,973.25
  6. Step 6: Final answer
    x = 2,262.46

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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.