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Finding the Fourth Proportional to 3,187.86, 4,782.72 and 1,338

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Solution

The fourth proportional to 3,187.86, 4,782.72 and 1,338 is: 2,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.86 : 4,782.72 = 1,338 : x
  2. Step 2: Convert to fraction form
    3,187.86/4,782.72 = 1,338/x
  3. Step 3: Cross multiply
    3,187.86x = 4,782.72 × 1,338
  4. Step 4: Simplify right side
    3,187.86x = 6,399,279.36
  5. Step 5: Solve for x
    x = 6,399,279.36/3,187.86
  6. Step 6: Final answer
    x = 2,007.39

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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.