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Finding the Fourth Proportional to 5,604.35, 7,736.94 and 3,821.22

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Solution

The fourth proportional to 5,604.35, 7,736.94 and 3,821.22 is: 5,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.35 : 7,736.94 = 3,821.22 : x
  2. Step 2: Convert to fraction form
    5,604.35/7,736.94 = 3,821.22/x
  3. Step 3: Cross multiply
    5,604.35x = 7,736.94 × 3,821.22
  4. Step 4: Simplify right side
    5,604.35x = 29,564,549.87
  5. Step 5: Solve for x
    x = 29,564,549.87/5,604.35
  6. Step 6: Final answer
    x = 5,275.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.