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Finding the Fourth Proportional to 3,596.69, 5,385.85 and 2,867.33

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Solution

The fourth proportional to 3,596.69, 5,385.85 and 2,867.33 is: 4,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.69 : 5,385.85 = 2,867.33 : x
  2. Step 2: Convert to fraction form
    3,596.69/5,385.85 = 2,867.33/x
  3. Step 3: Cross multiply
    3,596.69x = 5,385.85 × 2,867.33
  4. Step 4: Simplify right side
    3,596.69x = 15,442,975.18
  5. Step 5: Solve for x
    x = 15,442,975.18/3,596.69
  6. Step 6: Final answer
    x = 4,293.67

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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.