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Finding the Fourth Proportional to 5,277.48, 7,912.97 and 1,815

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Solution

The fourth proportional to 5,277.48, 7,912.97 and 1,815 is: 2,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.48 : 7,912.97 = 1,815 : x
  2. Step 2: Convert to fraction form
    5,277.48/7,912.97 = 1,815/x
  3. Step 3: Cross multiply
    5,277.48x = 7,912.97 × 1,815
  4. Step 4: Simplify right side
    5,277.48x = 14,362,040.55
  5. Step 5: Solve for x
    x = 14,362,040.55/5,277.48
  6. Step 6: Final answer
    x = 2,721.38

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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.