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Finding the Fourth Proportional to 5,625.38, 7,763.03 and 3,267.68

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Solution

The fourth proportional to 5,625.38, 7,763.03 and 3,267.68 is: 4,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.38 : 7,763.03 = 3,267.68 : x
  2. Step 2: Convert to fraction form
    5,625.38/7,763.03 = 3,267.68/x
  3. Step 3: Cross multiply
    5,625.38x = 7,763.03 × 3,267.68
  4. Step 4: Simplify right side
    5,625.38x = 25,367,042.72
  5. Step 5: Solve for x
    x = 25,367,042.72/5,625.38
  6. Step 6: Final answer
    x = 4,509.40

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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.