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Finding the Fourth Proportional to 3,221.65, 4,832.07 and 1,372.42

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Solution

The fourth proportional to 3,221.65, 4,832.07 and 1,372.42 is: 2,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.65 : 4,832.07 = 1,372.42 : x
  2. Step 2: Convert to fraction form
    3,221.65/4,832.07 = 1,372.42/x
  3. Step 3: Cross multiply
    3,221.65x = 4,832.07 × 1,372.42
  4. Step 4: Simplify right side
    3,221.65x = 6,631,629.51
  5. Step 5: Solve for x
    x = 6,631,629.51/3,221.65
  6. Step 6: Final answer
    x = 2,058.46

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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.