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Finding the Fourth Proportional to 3,777.16, 5,651.49 and 3,393.48

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Solution

The fourth proportional to 3,777.16, 5,651.49 and 3,393.48 is: 5,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.16 : 5,651.49 = 3,393.48 : x
  2. Step 2: Convert to fraction form
    3,777.16/5,651.49 = 3,393.48/x
  3. Step 3: Cross multiply
    3,777.16x = 5,651.49 × 3,393.48
  4. Step 4: Simplify right side
    3,777.16x = 19,178,201.32
  5. Step 5: Solve for x
    x = 19,178,201.32/3,777.16
  6. Step 6: Final answer
    x = 5,077.42

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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.