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Finding the Fourth Proportional to 4,179.96, 5,768.34 and 2,316.96

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Solution

The fourth proportional to 4,179.96, 5,768.34 and 2,316.96 is: 3,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.96 : 5,768.34 = 2,316.96 : x
  2. Step 2: Convert to fraction form
    4,179.96/5,768.34 = 2,316.96/x
  3. Step 3: Cross multiply
    4,179.96x = 5,768.34 × 2,316.96
  4. Step 4: Simplify right side
    4,179.96x = 13,365,013.05
  5. Step 5: Solve for x
    x = 13,365,013.05/4,179.96
  6. Step 6: Final answer
    x = 3,197.40

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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.