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Finding the Fourth Proportional to 3,480.56, 5,221.56 and 1,172

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Solution

The fourth proportional to 3,480.56, 5,221.56 and 1,172 is: 1,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.56 : 5,221.56 = 1,172 : x
  2. Step 2: Convert to fraction form
    3,480.56/5,221.56 = 1,172/x
  3. Step 3: Cross multiply
    3,480.56x = 5,221.56 × 1,172
  4. Step 4: Simplify right side
    3,480.56x = 6,119,668.32
  5. Step 5: Solve for x
    x = 6,119,668.32/3,480.56
  6. Step 6: Final answer
    x = 1,758.24

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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.