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Finding the Fourth Proportional to 5,311.36, 7,967.04 and 1,847.68

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Solution

The fourth proportional to 5,311.36, 7,967.04 and 1,847.68 is: 2,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.36 : 7,967.04 = 1,847.68 : x
  2. Step 2: Convert to fraction form
    5,311.36/7,967.04 = 1,847.68/x
  3. Step 3: Cross multiply
    5,311.36x = 7,967.04 × 1,847.68
  4. Step 4: Simplify right side
    5,311.36x = 14,720,540.47
  5. Step 5: Solve for x
    x = 14,720,540.47/5,311.36
  6. Step 6: Final answer
    x = 2,771.52

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Similar ratio
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1.5x scale

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.