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Finding the Fourth Proportional to 5,734.50, 7,929.19 and 4,996.38

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Solution

The fourth proportional to 5,734.50, 7,929.19 and 4,996.38 is: 6,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.50 : 7,929.19 = 4,996.38 : x
  2. Step 2: Convert to fraction form
    5,734.50/7,929.19 = 4,996.38/x
  3. Step 3: Cross multiply
    5,734.50x = 7,929.19 × 4,996.38
  4. Step 4: Simplify right side
    5,734.50x = 39,617,282.31
  5. Step 5: Solve for x
    x = 39,617,282.31/5,734.50
  6. Step 6: Final answer
    x = 6,908.59

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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.