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Finding the Fourth Proportional to 5,677.92, 7,834.26 and 3,318.96

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Solution

The fourth proportional to 5,677.92, 7,834.26 and 3,318.96 is: 4,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.92 : 7,834.26 = 3,318.96 : x
  2. Step 2: Convert to fraction form
    5,677.92/7,834.26 = 3,318.96/x
  3. Step 3: Cross multiply
    5,677.92x = 7,834.26 × 3,318.96
  4. Step 4: Simplify right side
    5,677.92x = 26,001,595.57
  5. Step 5: Solve for x
    x = 26,001,595.57/5,677.92
  6. Step 6: Final answer
    x = 4,579.42

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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.