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Finding the Fourth Proportional to 3,668.29, 5,493.32 and 2,567.50

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Solution

The fourth proportional to 3,668.29, 5,493.32 and 2,567.50 is: 3,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.29 : 5,493.32 = 2,567.50 : x
  2. Step 2: Convert to fraction form
    3,668.29/5,493.32 = 2,567.50/x
  3. Step 3: Cross multiply
    3,668.29x = 5,493.32 × 2,567.50
  4. Step 4: Simplify right side
    3,668.29x = 14,104,099.10
  5. Step 5: Solve for x
    x = 14,104,099.10/3,668.29
  6. Step 6: Final answer
    x = 3,844.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.