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Finding the Fourth Proportional to 5,556.94, 7,668.86 and 3,199.42

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Solution

The fourth proportional to 5,556.94, 7,668.86 and 3,199.42 is: 4,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.94 : 7,668.86 = 3,199.42 : x
  2. Step 2: Convert to fraction form
    5,556.94/7,668.86 = 3,199.42/x
  3. Step 3: Cross multiply
    5,556.94x = 7,668.86 × 3,199.42
  4. Step 4: Simplify right side
    5,556.94x = 24,535,904.06
  5. Step 5: Solve for x
    x = 24,535,904.06/5,556.94
  6. Step 6: Final answer
    x = 4,415.36

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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.