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Finding the Fourth Proportional to 3,938.57, 5,435.21 and 2,146.16

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Solution

The fourth proportional to 3,938.57, 5,435.21 and 2,146.16 is: 2,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.57 : 5,435.21 = 2,146.16 : x
  2. Step 2: Convert to fraction form
    3,938.57/5,435.21 = 2,146.16/x
  3. Step 3: Cross multiply
    3,938.57x = 5,435.21 × 2,146.16
  4. Step 4: Simplify right side
    3,938.57x = 11,664,829.34
  5. Step 5: Solve for x
    x = 11,664,829.34/3,938.57
  6. Step 6: Final answer
    x = 2,961.69

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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.