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Finding the Fourth Proportional to 4,259.85, 6,394.43 and 3,145.85

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Solution

The fourth proportional to 4,259.85, 6,394.43 and 3,145.85 is: 4,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.85 : 6,394.43 = 3,145.85 : x
  2. Step 2: Convert to fraction form
    4,259.85/6,394.43 = 3,145.85/x
  3. Step 3: Cross multiply
    4,259.85x = 6,394.43 × 3,145.85
  4. Step 4: Simplify right side
    4,259.85x = 20,115,917.62
  5. Step 5: Solve for x
    x = 20,115,917.62/4,259.85
  6. Step 6: Final answer
    x = 4,722.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.