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Finding the Fourth Proportional to 4,814.37, 6,640.38 and 4,741.47

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Solution

The fourth proportional to 4,814.37, 6,640.38 and 4,741.47 is: 6,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.37 : 6,640.38 = 4,741.47 : x
  2. Step 2: Convert to fraction form
    4,814.37/6,640.38 = 4,741.47/x
  3. Step 3: Cross multiply
    4,814.37x = 6,640.38 × 4,741.47
  4. Step 4: Simplify right side
    4,814.37x = 31,485,162.56
  5. Step 5: Solve for x
    x = 31,485,162.56/4,814.37
  6. Step 6: Final answer
    x = 6,539.83

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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.