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Finding the Fourth Proportional to 4,939.42, 7,405.65 and 2,472.49

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Solution

The fourth proportional to 4,939.42, 7,405.65 and 2,472.49 is: 3,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.42 : 7,405.65 = 2,472.49 : x
  2. Step 2: Convert to fraction form
    4,939.42/7,405.65 = 2,472.49/x
  3. Step 3: Cross multiply
    4,939.42x = 7,405.65 × 2,472.49
  4. Step 4: Simplify right side
    4,939.42x = 18,310,395.57
  5. Step 5: Solve for x
    x = 18,310,395.57/4,939.42
  6. Step 6: Final answer
    x = 3,706.99

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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.