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Finding the Fourth Proportional to 5,738.58, 7,917.78 and 3,500.31

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Solution

The fourth proportional to 5,738.58, 7,917.78 and 3,500.31 is: 4,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.58 : 7,917.78 = 3,500.31 : x
  2. Step 2: Convert to fraction form
    5,738.58/7,917.78 = 3,500.31/x
  3. Step 3: Cross multiply
    5,738.58x = 7,917.78 × 3,500.31
  4. Step 4: Simplify right side
    5,738.58x = 27,714,684.51
  5. Step 5: Solve for x
    x = 27,714,684.51/5,738.58
  6. Step 6: Final answer
    x = 4,829.54

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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.