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Finding the Fourth Proportional to 6,556.86, 9,044.28 and 3,902.25

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Solution

The fourth proportional to 6,556.86, 9,044.28 and 3,902.25 is: 5,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.86 : 9,044.28 = 3,902.25 : x
  2. Step 2: Convert to fraction form
    6,556.86/9,044.28 = 3,902.25/x
  3. Step 3: Cross multiply
    6,556.86x = 9,044.28 × 3,902.25
  4. Step 4: Simplify right side
    6,556.86x = 35,293,041.63
  5. Step 5: Solve for x
    x = 35,293,041.63/6,556.86
  6. Step 6: Final answer
    x = 5,382.61

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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.