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Finding the Fourth Proportional to 3,640.39, 5,452.38 and 2,176.47

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Solution

The fourth proportional to 3,640.39, 5,452.38 and 2,176.47 is: 3,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.39 : 5,452.38 = 2,176.47 : x
  2. Step 2: Convert to fraction form
    3,640.39/5,452.38 = 2,176.47/x
  3. Step 3: Cross multiply
    3,640.39x = 5,452.38 × 2,176.47
  4. Step 4: Simplify right side
    3,640.39x = 11,866,941.50
  5. Step 5: Solve for x
    x = 11,866,941.50/3,640.39
  6. Step 6: Final answer
    x = 3,259.80

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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.