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Finding the Fourth Proportional to 3,690.40, 5,564.44 and 3,229.60

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Solution

The fourth proportional to 3,690.40, 5,564.44 and 3,229.60 is: 4,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.40 : 5,564.44 = 3,229.60 : x
  2. Step 2: Convert to fraction form
    3,690.40/5,564.44 = 3,229.60/x
  3. Step 3: Cross multiply
    3,690.40x = 5,564.44 × 3,229.60
  4. Step 4: Simplify right side
    3,690.40x = 17,970,915.42
  5. Step 5: Solve for x
    x = 17,970,915.42/3,690.40
  6. Step 6: Final answer
    x = 4,869.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.