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Finding the Fourth Proportional to 5,316.50, 7,974.76 and 2,028.84

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Solution

The fourth proportional to 5,316.50, 7,974.76 and 2,028.84 is: 3,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.50 : 7,974.76 = 2,028.84 : x
  2. Step 2: Convert to fraction form
    5,316.50/7,974.76 = 2,028.84/x
  3. Step 3: Cross multiply
    5,316.50x = 7,974.76 × 2,028.84
  4. Step 4: Simplify right side
    5,316.50x = 16,179,512.08
  5. Step 5: Solve for x
    x = 16,179,512.08/5,316.50
  6. Step 6: Final answer
    x = 3,043.26

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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.