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Finding the Fourth Proportional to 5,550.24, 7,654.32 and 3,684

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Solution

The fourth proportional to 5,550.24, 7,654.32 and 3,684 is: 5,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550.24 : 7,654.32 = 3,684 : x
  2. Step 2: Convert to fraction form
    5,550.24/7,654.32 = 3,684/x
  3. Step 3: Cross multiply
    5,550.24x = 7,654.32 × 3,684
  4. Step 4: Simplify right side
    5,550.24x = 28,198,514.88
  5. Step 5: Solve for x
    x = 28,198,514.88/5,550.24
  6. Step 6: Final answer
    x = 5,080.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.