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Finding the Fourth Proportional to 3,322.84, 4,552.31 and 3,198.28

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Solution

The fourth proportional to 3,322.84, 4,552.31 and 3,198.28 is: 4,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.84 : 4,552.31 = 3,198.28 : x
  2. Step 2: Convert to fraction form
    3,322.84/4,552.31 = 3,198.28/x
  3. Step 3: Cross multiply
    3,322.84x = 4,552.31 × 3,198.28
  4. Step 4: Simplify right side
    3,322.84x = 14,559,562.03
  5. Step 5: Solve for x
    x = 14,559,562.03/3,322.84
  6. Step 6: Final answer
    x = 4,381.66

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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.