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Finding the Fourth Proportional to 3,684.78, 5,084.10 and 2,568.06

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Solution

The fourth proportional to 3,684.78, 5,084.10 and 2,568.06 is: 3,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.78 : 5,084.10 = 2,568.06 : x
  2. Step 2: Convert to fraction form
    3,684.78/5,084.10 = 2,568.06/x
  3. Step 3: Cross multiply
    3,684.78x = 5,084.10 × 2,568.06
  4. Step 4: Simplify right side
    3,684.78x = 13,056,273.85
  5. Step 5: Solve for x
    x = 13,056,273.85/3,684.78
  6. Step 6: Final answer
    x = 3,543.30

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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.