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Finding the Fourth Proportional to 5,568.38, 7,684.47 and 3,050.49

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Solution

The fourth proportional to 5,568.38, 7,684.47 and 3,050.49 is: 4,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.38 : 7,684.47 = 3,050.49 : x
  2. Step 2: Convert to fraction form
    5,568.38/7,684.47 = 3,050.49/x
  3. Step 3: Cross multiply
    5,568.38x = 7,684.47 × 3,050.49
  4. Step 4: Simplify right side
    5,568.38x = 23,441,398.89
  5. Step 5: Solve for x
    x = 23,441,398.89/5,568.38
  6. Step 6: Final answer
    x = 4,209.73

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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.