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Finding the Fourth Proportional to 5,490.50, 8,228.25 and 2,527.22

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Solution

The fourth proportional to 5,490.50, 8,228.25 and 2,527.22 is: 3,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.50 : 8,228.25 = 2,527.22 : x
  2. Step 2: Convert to fraction form
    5,490.50/8,228.25 = 2,527.22/x
  3. Step 3: Cross multiply
    5,490.50x = 8,228.25 × 2,527.22
  4. Step 4: Simplify right side
    5,490.50x = 20,794,597.97
  5. Step 5: Solve for x
    x = 20,794,597.97/5,490.50
  6. Step 6: Final answer
    x = 3,787.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.