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Finding the Fourth Proportional to 5,736.17, 7,917.56 and 3,379.68

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Solution

The fourth proportional to 5,736.17, 7,917.56 and 3,379.68 is: 4,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.17 : 7,917.56 = 3,379.68 : x
  2. Step 2: Convert to fraction form
    5,736.17/7,917.56 = 3,379.68/x
  3. Step 3: Cross multiply
    5,736.17x = 7,917.56 × 3,379.68
  4. Step 4: Simplify right side
    5,736.17x = 26,758,802.28
  5. Step 5: Solve for x
    x = 26,758,802.28/5,736.17
  6. Step 6: Final answer
    x = 4,664.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.