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Finding the Fourth Proportional to 6,154.12, 8,489.20 and 3,794.60

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Solution

The fourth proportional to 6,154.12, 8,489.20 and 3,794.60 is: 5,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.12 : 8,489.20 = 3,794.60 : x
  2. Step 2: Convert to fraction form
    6,154.12/8,489.20 = 3,794.60/x
  3. Step 3: Cross multiply
    6,154.12x = 8,489.20 × 3,794.60
  4. Step 4: Simplify right side
    6,154.12x = 32,213,118.32
  5. Step 5: Solve for x
    x = 32,213,118.32/6,154.12
  6. Step 6: Final answer
    x = 5,234.40

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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.