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Finding the Fourth Proportional to 5,913.90, 8,161.16 and 3,261.29

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Solution

The fourth proportional to 5,913.90, 8,161.16 and 3,261.29 is: 4,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.90 : 8,161.16 = 3,261.29 : x
  2. Step 2: Convert to fraction form
    5,913.90/8,161.16 = 3,261.29/x
  3. Step 3: Cross multiply
    5,913.90x = 8,161.16 × 3,261.29
  4. Step 4: Simplify right side
    5,913.90x = 26,615,852.38
  5. Step 5: Solve for x
    x = 26,615,852.38/5,913.90
  6. Step 6: Final answer
    x = 4,500.56

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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.