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Finding the Fourth Proportional to 6,556.48, 9,043.92 and 3,902.08

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Solution

The fourth proportional to 6,556.48, 9,043.92 and 3,902.08 is: 5,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.48 : 9,043.92 = 3,902.08 : x
  2. Step 2: Convert to fraction form
    6,556.48/9,043.92 = 3,902.08/x
  3. Step 3: Cross multiply
    6,556.48x = 9,043.92 × 3,902.08
  4. Step 4: Simplify right side
    6,556.48x = 35,290,099.35
  5. Step 5: Solve for x
    x = 35,290,099.35/6,556.48
  6. Step 6: Final answer
    x = 5,382.48

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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.