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Finding the Fourth Proportional to 5,956.87, 8,932.41 and 1,796.10

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Solution

The fourth proportional to 5,956.87, 8,932.41 and 1,796.10 is: 2,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.87 : 8,932.41 = 1,796.10 : x
  2. Step 2: Convert to fraction form
    5,956.87/8,932.41 = 1,796.10/x
  3. Step 3: Cross multiply
    5,956.87x = 8,932.41 × 1,796.10
  4. Step 4: Simplify right side
    5,956.87x = 16,043,501.60
  5. Step 5: Solve for x
    x = 16,043,501.60/5,956.87
  6. Step 6: Final answer
    x = 2,693.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.