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Finding the Fourth Proportional to 3,791.84, 5,680.08 and 1,964

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Solution

The fourth proportional to 3,791.84, 5,680.08 and 1,964 is: 2,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.84 : 5,680.08 = 1,964 : x
  2. Step 2: Convert to fraction form
    3,791.84/5,680.08 = 1,964/x
  3. Step 3: Cross multiply
    3,791.84x = 5,680.08 × 1,964
  4. Step 4: Simplify right side
    3,791.84x = 11,155,677.12
  5. Step 5: Solve for x
    x = 11,155,677.12/3,791.84
  6. Step 6: Final answer
    x = 2,942.02

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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.