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Finding the Fourth Proportional to 6,540.99, 9,026.53 and 3,556.77

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Solution

The fourth proportional to 6,540.99, 9,026.53 and 3,556.77 is: 4,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.99 : 9,026.53 = 3,556.77 : x
  2. Step 2: Convert to fraction form
    6,540.99/9,026.53 = 3,556.77/x
  3. Step 3: Cross multiply
    6,540.99x = 9,026.53 × 3,556.77
  4. Step 4: Simplify right side
    6,540.99x = 32,105,273.32
  5. Step 5: Solve for x
    x = 32,105,273.32/6,540.99
  6. Step 6: Final answer
    x = 4,908.32

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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.