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Finding the Fourth Proportional to 5,612.67, 7,744.13 and 3,622.80

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Solution

The fourth proportional to 5,612.67, 7,744.13 and 3,622.80 is: 4,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.67 : 7,744.13 = 3,622.80 : x
  2. Step 2: Convert to fraction form
    5,612.67/7,744.13 = 3,622.80/x
  3. Step 3: Cross multiply
    5,612.67x = 7,744.13 × 3,622.80
  4. Step 4: Simplify right side
    5,612.67x = 28,055,434.16
  5. Step 5: Solve for x
    x = 28,055,434.16/5,612.67
  6. Step 6: Final answer
    x = 4,998.59

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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.