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Finding the Fourth Proportional to 5,556.46, 7,669.84 and 3,199.54

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Solution

The fourth proportional to 5,556.46, 7,669.84 and 3,199.54 is: 4,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.46 : 7,669.84 = 3,199.54 : x
  2. Step 2: Convert to fraction form
    5,556.46/7,669.84 = 3,199.54/x
  3. Step 3: Cross multiply
    5,556.46x = 7,669.84 × 3,199.54
  4. Step 4: Simplify right side
    5,556.46x = 24,539,921.52
  5. Step 5: Solve for x
    x = 24,539,921.52/5,556.46
  6. Step 6: Final answer
    x = 4,416.47

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