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Finding the Fourth Proportional to 4,736.53, 7,104.80 and 2,138.86

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Solution

The fourth proportional to 4,736.53, 7,104.80 and 2,138.86 is: 3,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.53 : 7,104.80 = 2,138.86 : x
  2. Step 2: Convert to fraction form
    4,736.53/7,104.80 = 2,138.86/x
  3. Step 3: Cross multiply
    4,736.53x = 7,104.80 × 2,138.86
  4. Step 4: Simplify right side
    4,736.53x = 15,196,172.53
  5. Step 5: Solve for x
    x = 15,196,172.53/4,736.53
  6. Step 6: Final answer
    x = 3,208.29

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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.