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Finding the Fourth Proportional to 3,807.90, 5,255.16 and 2,129.27

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Solution

The fourth proportional to 3,807.90, 5,255.16 and 2,129.27 is: 2,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.90 : 5,255.16 = 2,129.27 : x
  2. Step 2: Convert to fraction form
    3,807.90/5,255.16 = 2,129.27/x
  3. Step 3: Cross multiply
    3,807.90x = 5,255.16 × 2,129.27
  4. Step 4: Simplify right side
    3,807.90x = 11,189,654.53
  5. Step 5: Solve for x
    x = 11,189,654.53/3,807.90
  6. Step 6: Final answer
    x = 2,938.54

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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.