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Finding the Fourth Proportional to 3,881.60, 5,809.28 and 3,544.64

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Solution

The fourth proportional to 3,881.60, 5,809.28 and 3,544.64 is: 5,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.60 : 5,809.28 = 3,544.64 : x
  2. Step 2: Convert to fraction form
    3,881.60/5,809.28 = 3,544.64/x
  3. Step 3: Cross multiply
    3,881.60x = 5,809.28 × 3,544.64
  4. Step 4: Simplify right side
    3,881.60x = 20,591,806.26
  5. Step 5: Solve for x
    x = 20,591,806.26/3,881.60
  6. Step 6: Final answer
    x = 5,304.98

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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.