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Finding the Fourth Proportional to 4,906.53, 7,346.55 and 3,914.64

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Solution

The fourth proportional to 4,906.53, 7,346.55 and 3,914.64 is: 5,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.53 : 7,346.55 = 3,914.64 : x
  2. Step 2: Convert to fraction form
    4,906.53/7,346.55 = 3,914.64/x
  3. Step 3: Cross multiply
    4,906.53x = 7,346.55 × 3,914.64
  4. Step 4: Simplify right side
    4,906.53x = 28,759,098.49
  5. Step 5: Solve for x
    x = 28,759,098.49/4,906.53
  6. Step 6: Final answer
    x = 5,861.39

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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.