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Finding the Fourth Proportional to 3,480.84, 4,789.13 and 3,039.80

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Solution

The fourth proportional to 3,480.84, 4,789.13 and 3,039.80 is: 4,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.84 : 4,789.13 = 3,039.80 : x
  2. Step 2: Convert to fraction form
    3,480.84/4,789.13 = 3,039.80/x
  3. Step 3: Cross multiply
    3,480.84x = 4,789.13 × 3,039.80
  4. Step 4: Simplify right side
    3,480.84x = 14,557,958.23
  5. Step 5: Solve for x
    x = 14,557,958.23/3,480.84
  6. Step 6: Final answer
    x = 4,182.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.