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Finding the Fourth Proportional to 3,965.82, 5,948.84 and 1,333.43

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Solution

The fourth proportional to 3,965.82, 5,948.84 and 1,333.43 is: 2,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.82 : 5,948.84 = 1,333.43 : x
  2. Step 2: Convert to fraction form
    3,965.82/5,948.84 = 1,333.43/x
  3. Step 3: Cross multiply
    3,965.82x = 5,948.84 × 1,333.43
  4. Step 4: Simplify right side
    3,965.82x = 7,932,325.31
  5. Step 5: Solve for x
    x = 7,932,325.31/3,965.82
  6. Step 6: Final answer
    x = 2,000.17

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Why These Related Problems?

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