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Finding the Fourth Proportional to 5,283.50, 7,929.09 and 1,996.58

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Solution

The fourth proportional to 5,283.50, 7,929.09 and 1,996.58 is: 2,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.50 : 7,929.09 = 1,996.58 : x
  2. Step 2: Convert to fraction form
    5,283.50/7,929.09 = 1,996.58/x
  3. Step 3: Cross multiply
    5,283.50x = 7,929.09 × 1,996.58
  4. Step 4: Simplify right side
    5,283.50x = 15,831,082.33
  5. Step 5: Solve for x
    x = 15,831,082.33/5,283.50
  6. Step 6: Final answer
    x = 2,996.33

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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.