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Finding the Fourth Proportional to 5,203.69, 7,174.31 and 3,787.61

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Solution

The fourth proportional to 5,203.69, 7,174.31 and 3,787.61 is: 5,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.69 : 7,174.31 = 3,787.61 : x
  2. Step 2: Convert to fraction form
    5,203.69/7,174.31 = 3,787.61/x
  3. Step 3: Cross multiply
    5,203.69x = 7,174.31 × 3,787.61
  4. Step 4: Simplify right side
    5,203.69x = 27,173,479.83
  5. Step 5: Solve for x
    x = 27,173,479.83/5,203.69
  6. Step 6: Final answer
    x = 5,221.96

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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.