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Finding the Fourth Proportional to 4,320.80, 5,958.24 and 3,204.80

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Solution

The fourth proportional to 4,320.80, 5,958.24 and 3,204.80 is: 4,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.80 : 5,958.24 = 3,204.80 : x
  2. Step 2: Convert to fraction form
    4,320.80/5,958.24 = 3,204.80/x
  3. Step 3: Cross multiply
    4,320.80x = 5,958.24 × 3,204.80
  4. Step 4: Simplify right side
    4,320.80x = 19,094,967.55
  5. Step 5: Solve for x
    x = 19,094,967.55/4,320.80
  6. Step 6: Final answer
    x = 4,419.31

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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.