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Finding the Fourth Proportional to 3,403, 4,696.14 and 2,076.49

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Solution

The fourth proportional to 3,403, 4,696.14 and 2,076.49 is: 2,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 4,696.14 = 2,076.49 : x
  2. Step 2: Convert to fraction form
    3,403/4,696.14 = 2,076.49/x
  3. Step 3: Cross multiply
    3,403x = 4,696.14 × 2,076.49
  4. Step 4: Simplify right side
    3,403x = 9,751,487.75
  5. Step 5: Solve for x
    x = 9,751,487.75/3,403
  6. Step 6: Final answer
    x = 2,865.56

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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.