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Finding the Fourth Proportional to 4,573.83, 6,308.10 and 3,081.14

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Solution

The fourth proportional to 4,573.83, 6,308.10 and 3,081.14 is: 4,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.83 : 6,308.10 = 3,081.14 : x
  2. Step 2: Convert to fraction form
    4,573.83/6,308.10 = 3,081.14/x
  3. Step 3: Cross multiply
    4,573.83x = 6,308.10 × 3,081.14
  4. Step 4: Simplify right side
    4,573.83x = 19,436,107.69
  5. Step 5: Solve for x
    x = 19,436,107.69/4,573.83
  6. Step 6: Final answer
    x = 4,249.42

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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.