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Finding the Fourth Proportional to 5,625.86, 7,763.89 and 3,267.88

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Solution

The fourth proportional to 5,625.86, 7,763.89 and 3,267.88 is: 4,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.86 : 7,763.89 = 3,267.88 : x
  2. Step 2: Convert to fraction form
    5,625.86/7,763.89 = 3,267.88/x
  3. Step 3: Cross multiply
    5,625.86x = 7,763.89 × 3,267.88
  4. Step 4: Simplify right side
    5,625.86x = 25,371,433.27
  5. Step 5: Solve for x
    x = 25,371,433.27/5,625.86
  6. Step 6: Final answer
    x = 4,509.79

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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.