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Finding the Fourth Proportional to 3,852.92, 5,317.04 and 2,084.54

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Solution

The fourth proportional to 3,852.92, 5,317.04 and 2,084.54 is: 2,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.92 : 5,317.04 = 2,084.54 : x
  2. Step 2: Convert to fraction form
    3,852.92/5,317.04 = 2,084.54/x
  3. Step 3: Cross multiply
    3,852.92x = 5,317.04 × 2,084.54
  4. Step 4: Simplify right side
    3,852.92x = 11,083,561.19
  5. Step 5: Solve for x
    x = 11,083,561.19/3,852.92
  6. Step 6: Final answer
    x = 2,876.66

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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.