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Finding the Fourth Proportional to 3,200, 4,414.70 and 2,362.68

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Solution

The fourth proportional to 3,200, 4,414.70 and 2,362.68 is: 3,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 4,414.70 = 2,362.68 : x
  2. Step 2: Convert to fraction form
    3,200/4,414.70 = 2,362.68/x
  3. Step 3: Cross multiply
    3,200x = 4,414.70 × 2,362.68
  4. Step 4: Simplify right side
    3,200x = 10,430,523.40
  5. Step 5: Solve for x
    x = 10,430,523.40/3,200
  6. Step 6: Final answer
    x = 3,259.54

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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.