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Finding the Fourth Proportional to 4,221.71, 5,822.75 and 3,230.27

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Solution

The fourth proportional to 4,221.71, 5,822.75 and 3,230.27 is: 4,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.71 : 5,822.75 = 3,230.27 : x
  2. Step 2: Convert to fraction form
    4,221.71/5,822.75 = 3,230.27/x
  3. Step 3: Cross multiply
    4,221.71x = 5,822.75 × 3,230.27
  4. Step 4: Simplify right side
    4,221.71x = 18,809,054.64
  5. Step 5: Solve for x
    x = 18,809,054.64/4,221.71
  6. Step 6: Final answer
    x = 4,455.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.