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Finding the Fourth Proportional to 3,905.49, 5,844.25 and 3,644.80

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Solution

The fourth proportional to 3,905.49, 5,844.25 and 3,644.80 is: 5,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.49 : 5,844.25 = 3,644.80 : x
  2. Step 2: Convert to fraction form
    3,905.49/5,844.25 = 3,644.80/x
  3. Step 3: Cross multiply
    3,905.49x = 5,844.25 × 3,644.80
  4. Step 4: Simplify right side
    3,905.49x = 21,301,122.40
  5. Step 5: Solve for x
    x = 21,301,122.40/3,905.49
  6. Step 6: Final answer
    x = 5,454.15

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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.