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Finding the Fourth Proportional to 4,186.80, 5,764.64 and 3,556

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Solution

The fourth proportional to 4,186.80, 5,764.64 and 3,556 is: 4,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.80 : 5,764.64 = 3,556 : x
  2. Step 2: Convert to fraction form
    4,186.80/5,764.64 = 3,556/x
  3. Step 3: Cross multiply
    4,186.80x = 5,764.64 × 3,556
  4. Step 4: Simplify right side
    4,186.80x = 20,499,059.84
  5. Step 5: Solve for x
    x = 20,499,059.84/4,186.80
  6. Step 6: Final answer
    x = 4,896.12

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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.