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Finding the Fourth Proportional to 5,662.64, 8,494.08 and 1,965

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Solution

The fourth proportional to 5,662.64, 8,494.08 and 1,965 is: 2,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.64 : 8,494.08 = 1,965 : x
  2. Step 2: Convert to fraction form
    5,662.64/8,494.08 = 1,965/x
  3. Step 3: Cross multiply
    5,662.64x = 8,494.08 × 1,965
  4. Step 4: Simplify right side
    5,662.64x = 16,690,867.20
  5. Step 5: Solve for x
    x = 16,690,867.20/5,662.64
  6. Step 6: Final answer
    x = 2,947.54

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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.