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Finding the Fourth Proportional to 3,491.68, 5,238 and 1,183.84

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Solution

The fourth proportional to 3,491.68, 5,238 and 1,183.84 is: 1,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.68 : 5,238 = 1,183.84 : x
  2. Step 2: Convert to fraction form
    3,491.68/5,238 = 1,183.84/x
  3. Step 3: Cross multiply
    3,491.68x = 5,238 × 1,183.84
  4. Step 4: Simplify right side
    3,491.68x = 6,200,953.92
  5. Step 5: Solve for x
    x = 6,200,953.92/3,491.68
  6. Step 6: Final answer
    x = 1,775.92

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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.