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Finding the Fourth Proportional to 4,383.54, 6,575.31 and 3,214.80

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Solution

The fourth proportional to 4,383.54, 6,575.31 and 3,214.80 is: 4,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.54 : 6,575.31 = 3,214.80 : x
  2. Step 2: Convert to fraction form
    4,383.54/6,575.31 = 3,214.80/x
  3. Step 3: Cross multiply
    4,383.54x = 6,575.31 × 3,214.80
  4. Step 4: Simplify right side
    4,383.54x = 21,138,306.59
  5. Step 5: Solve for x
    x = 21,138,306.59/4,383.54
  6. Step 6: Final answer
    x = 4,822.20

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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.