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Finding the Fourth Proportional to 5,472.42, 8,207.01 and 2,185.98

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Solution

The fourth proportional to 5,472.42, 8,207.01 and 2,185.98 is: 3,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.42 : 8,207.01 = 2,185.98 : x
  2. Step 2: Convert to fraction form
    5,472.42/8,207.01 = 2,185.98/x
  3. Step 3: Cross multiply
    5,472.42x = 8,207.01 × 2,185.98
  4. Step 4: Simplify right side
    5,472.42x = 17,940,359.72
  5. Step 5: Solve for x
    x = 17,940,359.72/5,472.42
  6. Step 6: Final answer
    x = 3,278.32

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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.