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Finding the Fourth Proportional to 5,359.22, 7,387.83 and 3,760.82

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Solution

The fourth proportional to 5,359.22, 7,387.83 and 3,760.82 is: 5,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.22 : 7,387.83 = 3,760.82 : x
  2. Step 2: Convert to fraction form
    5,359.22/7,387.83 = 3,760.82/x
  3. Step 3: Cross multiply
    5,359.22x = 7,387.83 × 3,760.82
  4. Step 4: Simplify right side
    5,359.22x = 27,784,261.88
  5. Step 5: Solve for x
    x = 27,784,261.88/5,359.22
  6. Step 6: Final answer
    x = 5,184.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.