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Finding the Fourth Proportional to 3,619.20, 5,448.48 and 3,296.64

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Solution

The fourth proportional to 3,619.20, 5,448.48 and 3,296.64 is: 4,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.20 : 5,448.48 = 3,296.64 : x
  2. Step 2: Convert to fraction form
    3,619.20/5,448.48 = 3,296.64/x
  3. Step 3: Cross multiply
    3,619.20x = 5,448.48 × 3,296.64
  4. Step 4: Simplify right side
    3,619.20x = 17,961,677.11
  5. Step 5: Solve for x
    x = 17,961,677.11/3,619.20
  6. Step 6: Final answer
    x = 4,962.89

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