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Finding the Fourth Proportional to 5,568.21, 7,684.24 and 3,050.42

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Solution

The fourth proportional to 5,568.21, 7,684.24 and 3,050.42 is: 4,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.21 : 7,684.24 = 3,050.42 : x
  2. Step 2: Convert to fraction form
    5,568.21/7,684.24 = 3,050.42/x
  3. Step 3: Cross multiply
    5,568.21x = 7,684.24 × 3,050.42
  4. Step 4: Simplify right side
    5,568.21x = 23,440,159.38
  5. Step 5: Solve for x
    x = 23,440,159.38/5,568.21
  6. Step 6: Final answer
    x = 4,209.64

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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.