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Finding the Fourth Proportional to 5,004.63, 6,901.94 and 3,234.38

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Solution

The fourth proportional to 5,004.63, 6,901.94 and 3,234.38 is: 4,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.63 : 6,901.94 = 3,234.38 : x
  2. Step 2: Convert to fraction form
    5,004.63/6,901.94 = 3,234.38/x
  3. Step 3: Cross multiply
    5,004.63x = 6,901.94 × 3,234.38
  4. Step 4: Simplify right side
    5,004.63x = 22,323,470.27
  5. Step 5: Solve for x
    x = 22,323,470.27/5,004.63
  6. Step 6: Final answer
    x = 4,460.56

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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.