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Finding the Fourth Proportional to 3,551.84, 4,906.32 and 3,220.64

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Solution

The fourth proportional to 3,551.84, 4,906.32 and 3,220.64 is: 4,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.84 : 4,906.32 = 3,220.64 : x
  2. Step 2: Convert to fraction form
    3,551.84/4,906.32 = 3,220.64/x
  3. Step 3: Cross multiply
    3,551.84x = 4,906.32 × 3,220.64
  4. Step 4: Simplify right side
    3,551.84x = 15,801,490.44
  5. Step 5: Solve for x
    x = 15,801,490.44/3,551.84
  6. Step 6: Final answer
    x = 4,448.82

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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.