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Finding the Fourth Proportional to 3,597.69, 5,387.34 and 2,868.33

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Solution

The fourth proportional to 3,597.69, 5,387.34 and 2,868.33 is: 4,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.69 : 5,387.34 = 2,868.33 : x
  2. Step 2: Convert to fraction form
    3,597.69/5,387.34 = 2,868.33/x
  3. Step 3: Cross multiply
    3,597.69x = 5,387.34 × 2,868.33
  4. Step 4: Simplify right side
    3,597.69x = 15,452,668.94
  5. Step 5: Solve for x
    x = 15,452,668.94/3,597.69
  6. Step 6: Final answer
    x = 4,295.16

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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.