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Finding the Fourth Proportional to 4,548.38, 6,278.38 and 2,685.38

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Solution

The fourth proportional to 4,548.38, 6,278.38 and 2,685.38 is: 3,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.38 : 6,278.38 = 2,685.38 : x
  2. Step 2: Convert to fraction form
    4,548.38/6,278.38 = 2,685.38/x
  3. Step 3: Cross multiply
    4,548.38x = 6,278.38 × 2,685.38
  4. Step 4: Simplify right side
    4,548.38x = 16,859,797.98
  5. Step 5: Solve for x
    x = 16,859,797.98/4,548.38
  6. Step 6: Final answer
    x = 3,706.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.