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Finding the Fourth Proportional to 3,828.60, 5,249.61 and 3,454.11

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Solution

The fourth proportional to 3,828.60, 5,249.61 and 3,454.11 is: 4,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.60 : 5,249.61 = 3,454.11 : x
  2. Step 2: Convert to fraction form
    3,828.60/5,249.61 = 3,454.11/x
  3. Step 3: Cross multiply
    3,828.60x = 5,249.61 × 3,454.11
  4. Step 4: Simplify right side
    3,828.60x = 18,132,730.40
  5. Step 5: Solve for x
    x = 18,132,730.40/3,828.60
  6. Step 6: Final answer
    x = 4,736.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.