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Finding the Fourth Proportional to 3,282.49, 4,500.31 and 3,223.36

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Solution

The fourth proportional to 3,282.49, 4,500.31 and 3,223.36 is: 4,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.49 : 4,500.31 = 3,223.36 : x
  2. Step 2: Convert to fraction form
    3,282.49/4,500.31 = 3,223.36/x
  3. Step 3: Cross multiply
    3,282.49x = 4,500.31 × 3,223.36
  4. Step 4: Simplify right side
    3,282.49x = 14,506,080.62
  5. Step 5: Solve for x
    x = 14,506,080.62/3,282.49
  6. Step 6: Final answer
    x = 4,419.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.