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Finding the Fourth Proportional to 5,567.88, 7,679.24 and 3,578.64

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Solution

The fourth proportional to 5,567.88, 7,679.24 and 3,578.64 is: 4,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.88 : 7,679.24 = 3,578.64 : x
  2. Step 2: Convert to fraction form
    5,567.88/7,679.24 = 3,578.64/x
  3. Step 3: Cross multiply
    5,567.88x = 7,679.24 × 3,578.64
  4. Step 4: Simplify right side
    5,567.88x = 27,481,235.43
  5. Step 5: Solve for x
    x = 27,481,235.43/5,567.88
  6. Step 6: Final answer
    x = 4,935.67

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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.