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Finding the Fourth Proportional to 3,671.28, 5,480.25 and 3,400.94

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Solution

The fourth proportional to 3,671.28, 5,480.25 and 3,400.94 is: 5,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.28 : 5,480.25 = 3,400.94 : x
  2. Step 2: Convert to fraction form
    3,671.28/5,480.25 = 3,400.94/x
  3. Step 3: Cross multiply
    3,671.28x = 5,480.25 × 3,400.94
  4. Step 4: Simplify right side
    3,671.28x = 18,638,001.44
  5. Step 5: Solve for x
    x = 18,638,001.44/3,671.28
  6. Step 6: Final answer
    x = 5,076.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.