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Finding the Fourth Proportional to 4,617.69, 6,370.38 and 3,125.09

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Solution

The fourth proportional to 4,617.69, 6,370.38 and 3,125.09 is: 4,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.69 : 6,370.38 = 3,125.09 : x
  2. Step 2: Convert to fraction form
    4,617.69/6,370.38 = 3,125.09/x
  3. Step 3: Cross multiply
    4,617.69x = 6,370.38 × 3,125.09
  4. Step 4: Simplify right side
    4,617.69x = 19,907,978.98
  5. Step 5: Solve for x
    x = 19,907,978.98/4,617.69
  6. Step 6: Final answer
    x = 4,311.24

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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.