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Finding the Fourth Proportional to 3,983.68, 5,977.86 and 3,556

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Solution

The fourth proportional to 3,983.68, 5,977.86 and 3,556 is: 5,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.68 : 5,977.86 = 3,556 : x
  2. Step 2: Convert to fraction form
    3,983.68/5,977.86 = 3,556/x
  3. Step 3: Cross multiply
    3,983.68x = 5,977.86 × 3,556
  4. Step 4: Simplify right side
    3,983.68x = 21,257,270.16
  5. Step 5: Solve for x
    x = 21,257,270.16/3,983.68
  6. Step 6: Final answer
    x = 5,336.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.