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Finding the Fourth Proportional to 3,958.08, 5,936 and 1,184

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Solution

The fourth proportional to 3,958.08, 5,936 and 1,184 is: 1,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.08 : 5,936 = 1,184 : x
  2. Step 2: Convert to fraction form
    3,958.08/5,936 = 1,184/x
  3. Step 3: Cross multiply
    3,958.08x = 5,936 × 1,184
  4. Step 4: Simplify right side
    3,958.08x = 7,028,224
  5. Step 5: Solve for x
    x = 7,028,224/3,958.08
  6. Step 6: Final answer
    x = 1,775.66

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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.