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Finding the Fourth Proportional to 4,556.88, 6,827.22 and 1,633.32

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Solution

The fourth proportional to 4,556.88, 6,827.22 and 1,633.32 is: 2,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.88 : 6,827.22 = 1,633.32 : x
  2. Step 2: Convert to fraction form
    4,556.88/6,827.22 = 1,633.32/x
  3. Step 3: Cross multiply
    4,556.88x = 6,827.22 × 1,633.32
  4. Step 4: Simplify right side
    4,556.88x = 11,151,034.97
  5. Step 5: Solve for x
    x = 11,151,034.97/4,556.88
  6. Step 6: Final answer
    x = 2,447.08

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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.