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Finding the Fourth Proportional to 5,711.64, 7,883.10 and 3,321.96

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Solution

The fourth proportional to 5,711.64, 7,883.10 and 3,321.96 is: 4,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.64 : 7,883.10 = 3,321.96 : x
  2. Step 2: Convert to fraction form
    5,711.64/7,883.10 = 3,321.96/x
  3. Step 3: Cross multiply
    5,711.64x = 7,883.10 × 3,321.96
  4. Step 4: Simplify right side
    5,711.64x = 26,187,342.88
  5. Step 5: Solve for x
    x = 26,187,342.88/5,711.64
  6. Step 6: Final answer
    x = 4,584.91

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1.5x scale

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.