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Finding the Fourth Proportional to 3,909.81, 5,863.80 and 1,276.64

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Solution

The fourth proportional to 3,909.81, 5,863.80 and 1,276.64 is: 1,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.81 : 5,863.80 = 1,276.64 : x
  2. Step 2: Convert to fraction form
    3,909.81/5,863.80 = 1,276.64/x
  3. Step 3: Cross multiply
    3,909.81x = 5,863.80 × 1,276.64
  4. Step 4: Simplify right side
    3,909.81x = 7,485,961.63
  5. Step 5: Solve for x
    x = 7,485,961.63/3,909.81
  6. Step 6: Final answer
    x = 1,914.66

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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.