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Finding the Fourth Proportional to 5,568.08, 7,684.20 and 3,084.08

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Solution

The fourth proportional to 5,568.08, 7,684.20 and 3,084.08 is: 4,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.08 : 7,684.20 = 3,084.08 : x
  2. Step 2: Convert to fraction form
    5,568.08/7,684.20 = 3,084.08/x
  3. Step 3: Cross multiply
    5,568.08x = 7,684.20 × 3,084.08
  4. Step 4: Simplify right side
    5,568.08x = 23,698,687.54
  5. Step 5: Solve for x
    x = 23,698,687.54/5,568.08
  6. Step 6: Final answer
    x = 4,256.17

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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.