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Finding the Fourth Proportional to 3,924.59, 5,879.09 and 2,365.00

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Solution

The fourth proportional to 3,924.59, 5,879.09 and 2,365.00 is: 3,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.59 : 5,879.09 = 2,365.00 : x
  2. Step 2: Convert to fraction form
    3,924.59/5,879.09 = 2,365.00/x
  3. Step 3: Cross multiply
    3,924.59x = 5,879.09 × 2,365.00
  4. Step 4: Simplify right side
    3,924.59x = 13,904,039.06
  5. Step 5: Solve for x
    x = 13,904,039.06/3,924.59
  6. Step 6: Final answer
    x = 3,542.80

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Why These Related Problems?

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