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Finding the Fourth Proportional to 3,983.63, 5,933.36 and 3,775.46

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Solution

The fourth proportional to 3,983.63, 5,933.36 and 3,775.46 is: 5,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.63 : 5,933.36 = 3,775.46 : x
  2. Step 2: Convert to fraction form
    3,983.63/5,933.36 = 3,775.46/x
  3. Step 3: Cross multiply
    3,983.63x = 5,933.36 × 3,775.46
  4. Step 4: Simplify right side
    3,983.63x = 22,401,143.12
  5. Step 5: Solve for x
    x = 22,401,143.12/3,983.63
  6. Step 6: Final answer
    x = 5,623.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.