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Finding the Fourth Proportional to 3,852.75, 5,316.80 and 2,456.31

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Solution

The fourth proportional to 3,852.75, 5,316.80 and 2,456.31 is: 3,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.75 : 5,316.80 = 2,456.31 : x
  2. Step 2: Convert to fraction form
    3,852.75/5,316.80 = 2,456.31/x
  3. Step 3: Cross multiply
    3,852.75x = 5,316.80 × 2,456.31
  4. Step 4: Simplify right side
    3,852.75x = 13,059,696.73
  5. Step 5: Solve for x
    x = 13,059,696.73/3,852.75
  6. Step 6: Final answer
    x = 3,389.71

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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.