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Finding the Fourth Proportional to 3,477, 5,215.54 and 879.94

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Solution

The fourth proportional to 3,477, 5,215.54 and 879.94 is: 1,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477 : 5,215.54 = 879.94 : x
  2. Step 2: Convert to fraction form
    3,477/5,215.54 = 879.94/x
  3. Step 3: Cross multiply
    3,477x = 5,215.54 × 879.94
  4. Step 4: Simplify right side
    3,477x = 4,589,362.27
  5. Step 5: Solve for x
    x = 4,589,362.27/3,477
  6. Step 6: Final answer
    x = 1,319.92

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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.