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Finding the Fourth Proportional to 5,261.37, 7,893.43 and 1,974.53

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Solution

The fourth proportional to 5,261.37, 7,893.43 and 1,974.53 is: 2,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.37 : 7,893.43 = 1,974.53 : x
  2. Step 2: Convert to fraction form
    5,261.37/7,893.43 = 1,974.53/x
  3. Step 3: Cross multiply
    5,261.37x = 7,893.43 × 1,974.53
  4. Step 4: Simplify right side
    5,261.37x = 15,585,769.93
  5. Step 5: Solve for x
    x = 15,585,769.93/5,261.37
  6. Step 6: Final answer
    x = 2,962.30

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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.