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Finding the Fourth Proportional to 5,568.26, 7,684.20 and 3,084.26

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Solution

The fourth proportional to 5,568.26, 7,684.20 and 3,084.26 is: 4,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.26 : 7,684.20 = 3,084.26 : x
  2. Step 2: Convert to fraction form
    5,568.26/7,684.20 = 3,084.26/x
  3. Step 3: Cross multiply
    5,568.26x = 7,684.20 × 3,084.26
  4. Step 4: Simplify right side
    5,568.26x = 23,700,070.69
  5. Step 5: Solve for x
    x = 23,700,070.69/5,568.26
  6. Step 6: Final answer
    x = 4,256.28

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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.