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Finding the Fourth Proportional to 3,938.07, 5,906.97 and 1,472.16

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Solution

The fourth proportional to 3,938.07, 5,906.97 and 1,472.16 is: 2,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.07 : 5,906.97 = 1,472.16 : x
  2. Step 2: Convert to fraction form
    3,938.07/5,906.97 = 1,472.16/x
  3. Step 3: Cross multiply
    3,938.07x = 5,906.97 × 1,472.16
  4. Step 4: Simplify right side
    3,938.07x = 8,696,004.96
  5. Step 5: Solve for x
    x = 8,696,004.96/3,938.07
  6. Step 6: Final answer
    x = 2,208.19

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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.