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Finding the Fourth Proportional to 5,913.73, 8,165.70 and 4,029.26

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Solution

The fourth proportional to 5,913.73, 8,165.70 and 4,029.26 is: 5,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.73 : 8,165.70 = 4,029.26 : x
  2. Step 2: Convert to fraction form
    5,913.73/8,165.70 = 4,029.26/x
  3. Step 3: Cross multiply
    5,913.73x = 8,165.70 × 4,029.26
  4. Step 4: Simplify right side
    5,913.73x = 32,901,728.38
  5. Step 5: Solve for x
    x = 32,901,728.38/5,913.73
  6. Step 6: Final answer
    x = 5,563.62

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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.