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Finding the Fourth Proportional to 3,433.92, 4,735.32 and 2,938.20

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Solution

The fourth proportional to 3,433.92, 4,735.32 and 2,938.20 is: 4,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.92 : 4,735.32 = 2,938.20 : x
  2. Step 2: Convert to fraction form
    3,433.92/4,735.32 = 2,938.20/x
  3. Step 3: Cross multiply
    3,433.92x = 4,735.32 × 2,938.20
  4. Step 4: Simplify right side
    3,433.92x = 13,913,317.22
  5. Step 5: Solve for x
    x = 13,913,317.22/3,433.92
  6. Step 6: Final answer
    x = 4,051.73

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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.