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Finding the Fourth Proportional to 3,228, 4,842.72 and 1,176

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Solution

The fourth proportional to 3,228, 4,842.72 and 1,176 is: 1,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228 : 4,842.72 = 1,176 : x
  2. Step 2: Convert to fraction form
    3,228/4,842.72 = 1,176/x
  3. Step 3: Cross multiply
    3,228x = 4,842.72 × 1,176
  4. Step 4: Simplify right side
    3,228x = 5,695,038.72
  5. Step 5: Solve for x
    x = 5,695,038.72/3,228
  6. Step 6: Final answer
    x = 1,764.26

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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.