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Finding the Fourth Proportional to 3,416.38, 5,129.43 and 3,259.78

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Solution

The fourth proportional to 3,416.38, 5,129.43 and 3,259.78 is: 4,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.38 : 5,129.43 = 3,259.78 : x
  2. Step 2: Convert to fraction form
    3,416.38/5,129.43 = 3,259.78/x
  3. Step 3: Cross multiply
    3,416.38x = 5,129.43 × 3,259.78
  4. Step 4: Simplify right side
    3,416.38x = 16,720,813.33
  5. Step 5: Solve for x
    x = 16,720,813.33/3,416.38
  6. Step 6: Final answer
    x = 4,894.31

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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.