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Finding the Fourth Proportional to 5,425.72, 8,124 and 4,463.44

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Solution

The fourth proportional to 5,425.72, 8,124 and 4,463.44 is: 6,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.72 : 8,124 = 4,463.44 : x
  2. Step 2: Convert to fraction form
    5,425.72/8,124 = 4,463.44/x
  3. Step 3: Cross multiply
    5,425.72x = 8,124 × 4,463.44
  4. Step 4: Simplify right side
    5,425.72x = 36,260,986.56
  5. Step 5: Solve for x
    x = 36,260,986.56/5,425.72
  6. Step 6: Final answer
    x = 6,683.17

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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.