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Finding the Fourth Proportional to 5,625.66, 7,761.03 and 3,763.26

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Solution

The fourth proportional to 5,625.66, 7,761.03 and 3,763.26 is: 5,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.66 : 7,761.03 = 3,763.26 : x
  2. Step 2: Convert to fraction form
    5,625.66/7,761.03 = 3,763.26/x
  3. Step 3: Cross multiply
    5,625.66x = 7,761.03 × 3,763.26
  4. Step 4: Simplify right side
    5,625.66x = 29,206,773.76
  5. Step 5: Solve for x
    x = 29,206,773.76/5,625.66
  6. Step 6: Final answer
    x = 5,191.71

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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.