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Finding the Fourth Proportional to 3,604.84, 5,407.29 and 3,081.44

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Solution

The fourth proportional to 3,604.84, 5,407.29 and 3,081.44 is: 4,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.84 : 5,407.29 = 3,081.44 : x
  2. Step 2: Convert to fraction form
    3,604.84/5,407.29 = 3,081.44/x
  3. Step 3: Cross multiply
    3,604.84x = 5,407.29 × 3,081.44
  4. Step 4: Simplify right side
    3,604.84x = 16,662,253.22
  5. Step 5: Solve for x
    x = 16,662,253.22/3,604.84
  6. Step 6: Final answer
    x = 4,622.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.