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Finding the Fourth Proportional to 5,954.96, 8,208.38 and 4,693.97

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Solution

The fourth proportional to 5,954.96, 8,208.38 and 4,693.97 is: 6,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.96 : 8,208.38 = 4,693.97 : x
  2. Step 2: Convert to fraction form
    5,954.96/8,208.38 = 4,693.97/x
  3. Step 3: Cross multiply
    5,954.96x = 8,208.38 × 4,693.97
  4. Step 4: Simplify right side
    5,954.96x = 38,529,866.00
  5. Step 5: Solve for x
    x = 38,529,866.00/5,954.96
  6. Step 6: Final answer
    x = 6,470.21

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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.