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Finding the Fourth Proportional to 5,876.46, 8,109.62 and 3,224

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Solution

The fourth proportional to 5,876.46, 8,109.62 and 3,224 is: 4,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.46 : 8,109.62 = 3,224 : x
  2. Step 2: Convert to fraction form
    5,876.46/8,109.62 = 3,224/x
  3. Step 3: Cross multiply
    5,876.46x = 8,109.62 × 3,224
  4. Step 4: Simplify right side
    5,876.46x = 26,145,414.88
  5. Step 5: Solve for x
    x = 26,145,414.88/5,876.46
  6. Step 6: Final answer
    x = 4,449.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.