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Finding the Fourth Proportional to 5,568, 7,683.86 and 3,084

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Solution

The fourth proportional to 5,568, 7,683.86 and 3,084 is: 4,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568 : 7,683.86 = 3,084 : x
  2. Step 2: Convert to fraction form
    5,568/7,683.86 = 3,084/x
  3. Step 3: Cross multiply
    5,568x = 7,683.86 × 3,084
  4. Step 4: Simplify right side
    5,568x = 23,697,008.82
  5. Step 5: Solve for x
    x = 23,697,008.82/5,568
  6. Step 6: Final answer
    x = 4,255.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.